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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is 16° 23'. When the boat stops, the angle of depression is 49° 29'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round to the nearest hundredth.
 one year ago
 one year ago
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is 16° 23'. When the boat stops, the angle of depression is 49° 29'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round to the nearest hundredth.
 one year ago
 one year ago

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Fall1213Best ResponseYou've already chosen the best response.0
This is not difficult. Use the tangent function of each angle. tan Θ = height of lighthouse / distance of boat from lighthouse. tan (15.85°) = 200 / x x = 200 / tan 15.85° x ≈ 704.438 ft tan (52.2°) = 200 / x' x' = 200 / tan (52.2°) x' ≈ 155.136 ft.. The distance the boat traveled is equal to x  x': x  x' = 704.438 ft  155.136 ft = 549.302 ft. We can then round the answer to 549.30 ft.dw:1355174045554:dw
 one year ago

babydoll332Best ResponseYou've already chosen the best response.0
got it thanksssss :)
 one year ago
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