1 Answer

Igor Yavych · Answer 1 · 2024-09-17T07:58:17+0000

Answer:

827.2 ft

Explanation:

We can find the height of the tower using the trigonometric function tangent.

$\tan(x) = \frac{\text{opposite}}{\text{adjacent}}$

↓ plugging in the given values

$\tan(84.476\°) = (h)/(80)$

↓ multiplying both sides by 80

$80 \cdot \tan(84.476\°) = h$

↓ evaluating using a calculator

$\boxed{h\approx 827.2\text{ ft}}$

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