Question

Could you help me with this problem?

Answer 1

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}}`