Question

The angle of elevation of the top of the tower, whose height is 15 mts, at a point whose distance from the base of the tower is 15 mts is

• A. 15°
• B. 45°
• C. 30°
• D. 60°

Answer 1

The Correct Option is B

To solve the problem, we need to find the angle of elevation of the top of a tower from a point on the ground at a known distance from the base of the tower.

1. Understanding the Right Triangle:
We form a right triangle where:
- Height of the tower (opposite side) = 15 m
- Distance from the base (adjacent side) = 15 m
We use the tangent function to find the angle of elevation:

2. Applying the Tangent Function:

$ \tan \theta = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{15}{15} = 1 $

3. Finding the Angle:

$ \theta = \tan^{-1}(1) = 45^\circ $

Final Answer:
The angle of elevation is $45^\circ$