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ivolga24 [154]
3 years ago
15

The captain of a boat knows that a lighthouse on the coast is 100 ft. tall. If he measures the angle of elevation to be 2 degree

s, how far is the boat from the shore?
Mathematics
1 answer:
faltersainse [42]3 years ago
6 0

Answer and Step-by-step explanation:

           | \

           |   \

           |      \

           |         \

           |            \

100 ft.  |              \

           |         2     \

           |_________\

                    x

Use tangent to find the x.

tan(2) = \frac{100}{x}

x = \frac{100}{tan(2)}

Use a calculator to evaluate.

x = \frac{100}{tan(2)} = 2863.6253

So, the boat is 2,863.63 feet from the shore.

#teamtrees #WAP (Water And Plant)

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