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

Question

3 years ago

10

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

1 answer:

andrezito [222] · Answer 1 · 2022-06-15T19:04:51+03:00

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.