The captain of a boat knows that a lighthouse on the coast is 100 ft
away. if she measures the angle from the boat looking up to the top
of the light house to be 2º and she is 4 feet above the water when she
takes this measurement, how tall is the light house?

Height of the light house

Step-by-step explanation:

Distance of light house from boat = 100 ft

Angle of elevation from boat to the top of light house = 2°

Height above water while taking measurement = 4 ft

The figure of the situation is shown below.

For Δ ABC

Multiplying both sides by 100.

∴

Height of the light house

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168