Question

Use the diagram below to answer the question.

Answer 1

Answer:

The length of shadow is 69 foot.

Step-by-step 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:

$\sin\theta=\dfrac{P}{H}$

$\sin50^\circ=\dfrac{x}{90}$

$x=90\times 0.766$

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

Hence, The length of shadow is 69 foot.