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Mekhanik [1.2K]
2 years ago
15

A boat heading out to sea starts out at Point A A, at a horizontal distance of 862 feet from a lighthouse/the shore. From that p

oint, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 15 ∘ ∘ . At some later time, the crew measures the angle of elevation from point B B to be 8 ∘ ∘ . Find the distance from point A A to point B B. Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
andrey2020 [161]2 years ago
8 0

Answer:

The boat traveled 781.5 feet from point AA to point BB

Step-by-step explanation:

Find the height of the small triangle then find the base of the big triangle then subtract the two answers to find the distance between a and b

:)

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The answer is √58 = 7.62

So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).
Use the Pythagorean theorem:
c² = a² + b²
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c² = 3² + 7²
c² = 9 + 49
c² = 58
c = √58
c = 7.62
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Answer:

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