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A tower stands vertically on the ground. From a point C on the ground, which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 45
 degrees
. The height of the tower is

  • a)
    15 m

  • b)
    8 m

  • c)
    20 m

  • d)
    10 m

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A tower stands vertically on the ground. From a point C on the ground,...
Angle of elevation =45 degrees

Base=20 m

Height of the tower=perpendicular

We have tan 45=P/B

1=P/20

P=20 m

Hence the height of the tower  is 20 metres.
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Most Upvoted Answer
A tower stands vertically on the ground. From a point C on the ground,...
Given:
- The tower stands vertically on the ground.
- Point C is 20 m away from the foot of the tower.
- The angle of elevation of the top of the tower from point C is 45°.

To find: The height of the tower.

Let's break down the problem step by step:

Step 1: Visualize the scenario
We have a tower standing vertically on the ground. The distance between the foot of the tower and point C is 20 m. We need to find the height of the tower.

Step 2: Understand the concept of angle of elevation
The angle of elevation is the angle between the line of sight and the horizontal when an observer looks upward. In this case, the angle of elevation is the angle between the line of sight from point C to the top of the tower and the horizontal line.

Step 3: Draw a diagram
Draw a diagram to represent the given information. Label the tower height as 'h', the distance between the foot of the tower and point C as 20 m, and the angle of elevation as 45°.

Step 4: Apply trigonometry
We can use the trigonometric function tan (tangent) to find the height of the tower.

tan(angle of elevation) = opposite/adjacent
tan(45°) = h/20

Step 5: Solve the equation
Solve the equation for 'h':

tan(45°) = h/20
1 = h/20
h = 20

Therefore, the height of the tower is 20 meters.

Step 6: Answer
The height of the tower is 20 m.
Thus, the correct answer is option 'C'.
Free Test
Community Answer
A tower stands vertically on the ground. From a point C on the ground,...
20m
tan45-1
tan45=p/b
1=p/20
p=20
height of tower is 20m
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A tower stands vertically on the ground. From a point C on the ground, which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 45degrees. The height of the tower isa)15 mb)8 mc)20 md)10 mCorrect answer is option 'C'. Can you explain this answer?
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