Question

A person is flying a kite at a height of 30 m from the horizontal level. The length of string from the kite to the person is 60 m. Assuming that here is no slack in the string, the angle of elevation of kite to the horizontal level is

• A. 60°
• B. 45°
• C. 30°
• D. 90°

Answer 1

The Correct Option is C

To solve the problem, we need to find the angle of elevation of the kite from the horizontal level using the given height and length of the string.

1. Understanding the Right Triangle:
The kite, string, and horizontal level form a right triangle:
- Opposite side (height) = 30 m
- Hypotenuse (string length) = 60 m
We use the sine function since we have the opposite side and hypotenuse:

2. Applying the Sine Function:

$ \sin \theta = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{30}{60} = \frac{1}{2} $

3. Finding the Angle:

$ \theta = \sin^{-1} \left( \frac{1}{2} \right) = 30^\circ $

Final Answer:
The angle of elevation is $30^\circ$