pleaseee helpp!!
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 18°33'. When the boat stops, the angle of depression is 51°33'. 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.

Question

pleaseee helpp!! 
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 18°33'. When the boat stops, the angle of depression is 51°33'. 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.

anonymous · Answer

i tried it and i got 
tan 51 33'= 200/base1= 158.802 
tan(18 33')=200/base2 =596.008 
distance travelled= 596.008-158.802=438m

anonymous · Answer

but my teacher told me there was a rounding error

wolf1728 · Answer

My God, that teacher is a stickler.  
Yes, you do have an error in your calculations.
You stated that
596.008-158.802=438m
Actually
596.008-158.802= 437.206
You were in error by almost 80 centimeters!
Anyway, if you are to round it to the nearest hundredth then your answer should be 437.21 meters.