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Question
If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is ______.
Options
0°
30°
45°
60°
MCQ
Fill in the Blanks
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Solution
If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is 45°.
Explanation:
Let AB be the pole and AC be its shadow such that AB = AC.
Let ∠ACB = θ.
Then, `tan θ = (AB)/(AC) = 1`
⇒ tan θ = tan 45°
⇒ θ = 45°
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