Solved: A shadow cast by a flagpole is $10\text{m}$ long. If the angle of elevation of the sun is $60^\circ$, find the height of...

Question

A shadow cast by a flagpole is $10\text{m}$ long. If the angle of elevation of the sun is $60^\circ$ , find the height of the flagpole.

Verified Answer

$10\sqrt{3}\text{m}$

Explanation & Step-by-Step Solving

Solving: $\tan(60^\circ) = \frac{\text{Height}}{10} \implies \sqrt{3} = \frac{\text{Height}}{10} \implies \text{Height} = 10\sqrt{3}\text{m}$ .

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