Asked by Mady
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 13°32'. When the boat stops, the angle of depression is 45°10'. The lighthouse is 160 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.
Answers
Answered by
oobleck
Draw a diagram. You will see that if the distance moved is x, then
x = 160cot13°32' - 160cot45°10'
x = 160cot13°32' - 160cot45°10'
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