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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 17°31'. When the boat stops, the angle of depression is 46°41'. 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.

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|dw:1345502141616:dw| i hope the drawing is enough clue.... can u solve this?
|dw:1345502465146:dw| find x
please help me solve X

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Other answers:

Boat traveled: 633.675 - 188.580 = 445.09 ft is this right
close, but not right :) \(\large tan(17.31)=\frac{200}{\huge y} \) \(\large tan(46.41)=\frac{200}{\huge z} \) find y and z and solve for x=y-z |dw:1345530430794:dw|
can u give me the final cause i keep getting 445.09
445.09 = \(\checkmark\)

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