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.

Just the answer please, in a hurry.

Question

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.

Just the answer please, in a hurry.

mathstudent55 · Answer

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anonymous · Answer

Then what?

mathstudent55 · Answer

Subtract 16d 23 m from 90 and subtract 49d 29m from 90, and you'll have the upper angles of the two triangles. Then with trig functions, you can get the distances from the base of the lighthouse (the right angle at bottom left) to points A and B. Then subtract those distances, and you get AB.

anonymous · Answer

Can you quickly do that for me?  Sorry.

anonymous · Answer

Trying to finish the assignment.

mathstudent55 · Answer

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