Question

If the height of a pole is 2meters and the length of its shadow is 2 meters, find the angle of elevation of the sun.

• A. 30
• B. 90
• C. 180
• D. 60

Answer 1

The Correct Option is D

Step 1: Use the trigonometric formula for the tangent of an angle in a right triangle: 

\[ \tan \theta = \frac{\text{Height}}{\text{Shadow length}} \]

Step 2: Substituting the values:

\[ \tan \theta = \frac{2}{2} = 1 \]

Step 3: Find the angle whose tangent is 1:

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

Step 4: Therefore, the angle of elevation is 60°.