Question

Use the diagram below to answer the question.

Find the length of the shadow of the lighthouse. (Round to the nearest foot.)

58 ft
69 ft
117 ft
140 ft

Answer 1

The length of shadow is 69 foot.

Explanation:

We are given a shadow of lighthouse.

Length of top of lighthouse to end of shadow is 90 ft.

Angle make at top of lighthouse is 50°

Distance from foot of lighthouse to end of shadow is x ft.

we need to find the length of shadow i,e x ft

Using trigonometry ration:

`\sin\theta=(P)/(H)`

`\sin50^\circ=(x)/(90)`

`x=90* 0.766`

`x=68.94\approx 69\text{ ft}`

Hence, The length of shadow is 69 foot.