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slega [8]
3 years ago
10

Use the diagram below to answer the question.

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

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.

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