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Marina CMI [18]
4 years ago
9

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t

he angle of depression to the boat is 14°52'. When the boat stops, the angle of depression is 45°10'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.
Mathematics
1 answer:
Bogdan [553]4 years ago
4 0
200(cot(14+52/60)-cot(45+10/60))

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Answer:

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Step-by-step explanation:

Subtracting means adding the opposite.

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9 - (-4) = 9 + 4 = 13

Answer: d 13

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<em>∠OAC = 27°</em>

Step-by-step explanation:

When a line is tangent to a circle, the part where the radius meets with the line of tangency will be a right angle. Since we know this, we know that ∠C is equal to 90°. We also know that all of the angles in a triangle will add up to be 180°.

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2) Then we can evaluate:

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∠3 = 180º-50º

∠3 = 130º

3) Hence ∠1 ≅∠3 = 130º because the definition of supplementary angles is the same.

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I hope this helps:)

Step-by-step explanation:

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