1. ## 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.

2. ## Re: Tan

Let me know if 596.01' - 158.8' = 437.21' is correct.

Yes it is.

5. ## Re: Tan

$\frac{200}{\tan \left(18\text{ }33'\right)}-\frac{200}{\tan \left(51\text{ }33'\right)}$

6. ## Re: Tan

so I divide 200 by tan(18+33/60)-tan(51+33/60)

Is that right?

7. ## Re: Tan

So the answer is -706.44 ft?