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nadezda [96]
3 years ago
10

Two lighthouses A and B are 25km apart and A is due West of B. A submarine S is on a bearing of 137° from A and on a bearing of

170° from B. Find the distance of S from A and the distance of S from B.

Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Answer:

SA = 7.97 km

SB = 31.3 km

Step-by-step explanation:

Draw a picture of the triangle formed by the points A, B, and S.

∠SAB = 137°, and ∠ABS = 10°.  Therefore, ∠ASB = 33°.

Using law of sines:

25 / sin 33° = x / sin 10°

x = 7.97

25 / sin 33° = y / sin 137°

y = 31.3

Round as needed.

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