9514 1404 393
Answer:
- insufficient information
- 7.2 miles
- 18.5 miles
Step-by-step explanation:
1. <u>Insufficient information</u>. We need to know the direction of one observer from the other, and the reference for the angles being measured.
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2. See the first attachment. The law of sines tells you the distance r is ...
r = s(sin(R)/sin(S))
The angle at S is the supplement of the sum of the given angles:
∠S = 180° -35° -45° = 100°
Then the distance is ...
r = (10 mi)sin(45°)/sin(100°) = 7.1802 mi
The distance from Juan to the ship is about 7.2 miles.
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3. See the second attachment. The law of sines tells you the distance 'a' is ...
a = b(sin(A)/sin(B))
a = (10 mi)sin(45°)/sin(50°) ≈ 18.4612 mi
The distance from airplane B to the airport is about 18.5 miles.
