## anonymous 3 years ago 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.

1. sasogeek

|dw:1345502141616:dw| i hope the drawing is enough clue.... can u solve this?

2. sasogeek

|dw:1345502465146:dw| find x

3. anonymous

4. anonymous

Boat traveled: 633.675 - 188.580 = 445.09 ft is this right

5. sasogeek

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|

6. anonymous

can u give me the final cause i keep getting 445.09

7. ganeshie8

445.09 = $$\checkmark$$