A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed th

Question

3 years ago

9

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed th

e 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.

Mathematics

1 answer:

dexar [7] · Answer 1 · 2022-02-01T01:02:39+03:00

dexar [7]3 years ago

8 0

$\tan(51^o 33')= \frac{200}{base1}$
<span>
base1= 158.802

</span> $\tan(18^o 33')= \frac{200}{base2}$
<span>
base2=596.008

the distance travelled = 596.008 - 158.802 = 438 m</span>