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babydoll332
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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.
 2 years ago
 2 years ago
babydoll332 Group Title
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.
 2 years ago
 2 years ago

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Fall1213 Group TitleBest ResponseYou've already chosen the best response.1
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
 2 years ago

babydoll332 Group TitleBest ResponseYou've already chosen the best response.0
got it thanksssss :)
 2 years ago

radar Group TitleBest ResponseYou've already chosen the best response.0
dw:1355174611032:dw
 2 years ago
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