
Tan
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.
Is the answer 706.44 ft?

Re: Tan
Let me know if 596.01'  158.8' = 437.21' is correct.

Re: Tan

Re: Tan

Re: Tan
$\displaystyle \frac{200}{\tan \left(18\text{ }33'\right)}\frac{200}{\tan \left(51\text{ }33'\right)}$

Re: Tan
so I divide 200 by tan(18+33/60)tan(51+33/60)
Is that right?

Re: Tan
So the answer is 706.44 ft?

Re: Tan