A crane is trying to reach the ninth floor of an under-construction multi-storey building. The length of the cranes arm is flexible and can be increased or decreased. To reach the ninth floor, the crane raises its arm at an elevation angle of 30o and the arm length is 180 feet. The crane then moves closer to the building to reach the same floor at a different elevation angle. How much distance did the crane move? Assume the cranes height to be negligible.(1). After the movement, the elevation angle of the cranes arm is 60o.(2). After the movement, the crane is at a distance of 303 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?

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GMAT Exam > GMAT Questions > A crane is trying to reach the ninth floor of...

(1). After the movement, the elevation angle of the crane's arm is 60^o.

(2). After the movement, the crane is at a distance of 30√3 feet from the building.

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d)
EACH statement ALONE is sufficient.
e)
Statements (1) and (2) TOGETHER are NOT sufficient.

Correct answer is option 'D'. Can you explain this answer?

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A crane is trying to reach the ninth floor of an under-construction mu...

Steps 1 & 2: Understand Question and Draw Inferences

The flexibility of the crane’s arm is an important point here. Remember that the ninth floor is at a fixed height. Hence when the crane moves closer to the building, its elevation angle will increase for sure and its arm length will decrease. Hence the only constant here is the height of the ninth floor (from the ground).

Hence, in order to find out the distance moved by the crane, we first need to find the constant height.

Let’s represent the given information diagrammatically.

In right triangle ABC, AB represents the building till the ninth floor. The length of AB is assumed to be h feet. BC represents the arm of the crane initially, when the angle of elevation was 30. From the question statement, we know that BC = 180 feet.

Since the crane’s height is given to be negligible, we have shown the arm of the crane as starting from the ground level only. Thus, points C and A lie on the horizontal ground, and the line AC is therefore perpendicular to the building AB.

Right triangle BAC is a 30°-60°-90° triangle.

We know that in such a triangle, the sides opposite to the angles 30°, 60°, and 90° respectively are in the ratio 1 : √3 : 2.

So, h = 90 feet.

Also,

Let the crane move x feet towards the building to point D.

Let the distance AD = y feet.

Thus, x + y = 90√3

So, if we are able to find the value of y, we will be able to find the value of x.

We have only one piece of information about right triangle DAB, that AB = 90 feet.

If we get one more piece of information about this triangle, we will be able to find the value of y.

Thus, in order to find the value of y, we need to know either one of the two unknown sides or one of the two unknown angles of Triangle DAB.

Step 3: Analyze Statement 1

After the movement, the elevation angle of the crane’s arm is 60

This means that Triangle DAB is a 30°-60°-90° triangle.

We know that in such a triangle, the sides opposite to the angles 30°, 60°, and 90° respectively are in the ratio 1 : √3 : 2.

Thus, y = 30√3

Since we know the value of y, we will be able to find the value of x.

Thus, Statement 1 alone is sufficient to answer the question.

(Note: We have shown the full calculation here just to demonstrate how the value of y may be calculated, if a PS question was made on the same situation. Since this is a Data Sufficiency question, you need not actually solve till the value of y. Once you analyze that the given data is sufficient to find the value of y, you can move on to Step 4)

Step 4: Analyze Statement 2

After the movement, the crane is at a distance of 30√3 feet from the building.

That is, y = 30√3

Since we know the value of y, we will be able to calculate the value of x.

Thus, Statement 2 is Sufficient.

Step 5: Analyze Both Statements Together (if needed)

We get a unique answer in steps 3 and 4, so this step is not required

Answer: Option (D)

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A crane is trying to reach the ninth floor of an under-construction multi-storey building. The length of the crane’s arm is flexible and can be increased or decreased. To reach the ninth floor, the crane raises its arm at an elevation angle of 30o and the arm length is 180 feet. The crane then moves closer to the building to reach the same floor at a different elevation angle. How much distance did the crane move? Assume the crane’s height to be negligible.(1). After the movement, the elevation angle of the crane's arm is 60o.(2). After the movement, the crane is at a distance of 30√3 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?

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A crane is trying to reach the ninth floor of an under-construction multi-storey building. The length of the crane’s arm is flexible and can be increased or decreased. To reach the ninth floor, the crane raises its arm at an elevation angle of 30o and the arm length is 180 feet. The crane then moves closer to the building to reach the same floor at a different elevation angle. How much distance did the crane move? Assume the crane’s height to be negligible.(1). After the movement, the elevation angle of the crane's arm is 60o.(2). After the movement, the crane is at a distance of 30√3 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A crane is trying to reach the ninth floor of an under-construction multi-storey building. The length of the crane’s arm is flexible and can be increased or decreased. To reach the ninth floor, the crane raises its arm at an elevation angle of 30o and the arm length is 180 feet. The crane then moves closer to the building to reach the same floor at a different elevation angle. How much distance did the crane move? Assume the crane’s height to be negligible.(1). After the movement, the elevation angle of the crane's arm is 60o.(2). After the movement, the crane is at a distance of 30√3 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A crane is trying to reach the ninth floor of an under-construction multi-storey building. The length of the crane’s arm is flexible and can be increased or decreased. To reach the ninth floor, the crane raises its arm at an elevation angle of 30o and the arm length is 180 feet. The crane then moves closer to the building to reach the same floor at a different elevation angle. How much distance did the crane move? Assume the crane’s height to be negligible.(1). After the movement, the elevation angle of the crane's arm is 60o.(2). After the movement, the crane is at a distance of 30√3 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?.

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After the movement, the crane is at a distance of 30√3 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A crane is trying to reach the ninth floor of an under-construction multi-storey building. The length of the crane’s arm is flexible and can be increased or decreased. To reach the ninth floor, the crane raises its arm at an elevation angle of 30o and the arm length is 180 feet. The crane then moves closer to the building to reach the same floor at a different elevation angle. How much distance did the crane move? Assume the crane’s height to be negligible.(1). After the movement, the elevation angle of the crane's arm is 60o.(2). After the movement, the crane is at a distance of 30√3 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A crane is trying to reach the ninth floor of an under-construction multi-storey building. The length of the crane’s arm is flexible and can be increased or decreased. To reach the ninth floor, the crane raises its arm at an elevation angle of 30o and the arm length is 180 feet. The crane then moves closer to the building to reach the same floor at a different elevation angle. How much distance did the crane move? Assume the crane’s height to be negligible.(1). After the movement, the elevation angle of the crane's arm is 60o.(2). After the movement, the crane is at a distance of 30√3 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A crane is trying to reach the ninth floor of an under-construction multi-storey building. The length of the crane’s arm is flexible and can be increased or decreased. To reach the ninth floor, the crane raises its arm at an elevation angle of 30o and the arm length is 180 feet. The crane then moves closer to the building to reach the same floor at a different elevation angle. How much distance did the crane move? Assume the crane’s height to be negligible.(1). After the movement, the elevation angle of the crane's arm is 60o.(2). After the movement, the crane is at a distance of 30√3 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A crane is trying to reach the ninth floor of an under-construction multi-storey building. The length of the crane’s arm is flexible and can be increased or decreased. To reach the ninth floor, the crane raises its arm at an elevation angle of 30o and the arm length is 180 feet. The crane then moves closer to the building to reach the same floor at a different elevation angle. How much distance did the crane move? Assume the crane’s height to be negligible.(1). After the movement, the elevation angle of the crane's arm is 60o.(2). After the movement, the crane is at a distance of 30√3 feet from the building.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.

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