Defence Exam > Defence Questions > A man from the top of a 100 m high tower sees...
Start Learning for Free
A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?
- a)100√3 m
- b)200√3/3 m
- c)100√3/3 m
- d)200√3 m
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A man from the top of a 100 m high tower sees a car moving towards the...
In the figure,
The car’s position changes from B to D and it travelled ‘x’ m;
In ΔACD;
tan 60° = 100/AD
⇒ √3 = 100/AD
⇒ AD = 100/√3 m
In ΔABC;
tan 30° = 100/AB
⇒ 1/√3 = 100/AB
⇒ AB = 100√3 m
∴ x = AB – AD = 100√3 – 100/√3 = 200/√3 = 200√3/3 m
∴ Distance travelled by car during this time = 200√3/3 m
Most Upvoted Answer
A man from the top of a 100 m high tower sees a car moving towards the...
The angle of depression is the angle between the line of sight from the top of the tower to the car and the horizontal ground. In this case, the angle of depression is 30 degrees.
We can use trigonometry to find the horizontal distance between the car and the tower. Let's call this distance x.
In a right triangle, the tangent of an angle is equal to the length of the opposite side divided by the length of the adjacent side. In this case, the opposite side is the height of the tower (100 m) and the adjacent side is the horizontal distance (x).
Using the tangent function, we can write the equation:
tan(30 degrees) = 100 m / x
To find x, we can rearrange the equation:
x = 100 m / tan(30 degrees)
Using a calculator, we can evaluate the tangent of 30 degrees:
tan(30 degrees) ≈ 0.577
Substituting this value into the equation, we get:
x = 100 m / 0.577 ≈ 173 m
Therefore, the horizontal distance between the car and the tower is approximately 173 meters.
We can use trigonometry to find the horizontal distance between the car and the tower. Let's call this distance x.
In a right triangle, the tangent of an angle is equal to the length of the opposite side divided by the length of the adjacent side. In this case, the opposite side is the height of the tower (100 m) and the adjacent side is the horizontal distance (x).
Using the tangent function, we can write the equation:
tan(30 degrees) = 100 m / x
To find x, we can rearrange the equation:
x = 100 m / tan(30 degrees)
Using a calculator, we can evaluate the tangent of 30 degrees:
tan(30 degrees) ≈ 0.577
Substituting this value into the equation, we get:
x = 100 m / 0.577 ≈ 173 m
Therefore, the horizontal distance between the car and the tower is approximately 173 meters.
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer?
Question Description
A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer?.
A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time angle of depression becomes 60°. What is the distance travelled by car during this time?a)100√3 mb)200√3/3 mc)100√3/3 md)200√3 mCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup