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Solve the problem.
A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is
28° . The lighthouse is 200 feet tall. How far away is the boat? Round to the nearest foot.


Sagot :

Tan 28= 200/x

x=200/ tan 28

x=376.14

x=376

Step-by-step explanation:

Hope this helps!

The boat is x=376 foot away from the light house.

A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is 28°. The lighthouse is 200 feet tall.

What is trigonometry?

Trigonometry is defined as the study of angles.

Let the boat is x distance away from the lighthouse

assume a right-angle triangle ABC with AB =perpendicular=200, BC = base=X,  Angle CAB = 28°(angle of depression means the angle from the boat to the top of lighthouse is also 28°)

tan28 = 200/X
X = 200/tan28
X = 376 foots

Thus, The boat is x=376 foot away from the lighthouse.

Learn more about trigonometry here:
https://brainly.com/question/26719838

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