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°18'. When the boat stops, the angle of depression is 48°51'. 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.
Show work

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°18'. When the boat stops, the angle of depression is 48°51'. 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.
Show work

amistre64 · Answer

it always a good idea to draw a rough picture of the situation

anonymous · Answer

idk how to do that on here

amistre64 · Answer

|dw:1354919463453:dw|

amistre64 · Answer

tangents will help us; Large distance - small distance has to equal the distance traveled

anonymous · Answer

wait.. im confused.. im horrible at these type of questions;/

amistre64 · Answer

|dw:1354919558138:dw|