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matt is standing on top of a cliff 305 feet above a lake. The measurement of the angle of depression to a boat on a lake is 42 degrees. how far is the boat from matt

User Donkey
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1 Answer

5 votes

Answer:

So, the distance from boat to matt is 455.81535feet

Explanation:

We are given height of a cliff is 305 feet

and the measurement of the angle of depression to a boat on a lake is 42 degrees

so, we can draw diagram

Let's assume

distance from boat to matt is x

We can use trig


sin(42)=(305)/(x)

now, we can solve for x


x=(305)/(sin(42))


x=455.81535feet

So, the distance from boat to matt is 455.81535feet

matt is standing on top of a cliff 305 feet above a lake. The measurement of the angle-example-1
User Brayoni
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