trinityburke005
contestada

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 degrees, how far is the boat from the shore?

Respuesta :

Answer and Step-by-step explanation:

           | \

           |   \

           |      \

           |         \

           |            \

100 ft.  |              \

           |         2     \

           |_________\

                    x

Use tangent to find the x.

tan(2) = [tex]\frac{100}{x}[/tex]

[tex]x = \frac{100}{tan(2)}[/tex]

Use a calculator to evaluate.

[tex]x = \frac{100}{tan(2)}[/tex] = 2863.6253

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

#teamtrees #WAP (Water And Plant)

Otras preguntas