Question

1.) A flagpole casts a 94 foot long shadow on the ground. If the angle

of inclination between the ground and the rays of the sun is 39
degrees, how tall is the flag pole?


Plz help!!

Answer 1

Explanation:

This is a classic right triangle problem. We have the shadow as the base of the triangle, the 39 degree angle as the base angle adjacent to the right angle, and we are looking for the height of the flagpole which is the height of the triangle. The height of the triangle is the side across from the angle and the base is the side adjacent to the angle. That ratio is the tangent one, and setting up the ratio is

`tan(39)=(x)/(94)` Multiply both sides by 94 to get

94tan(39) = x so

x = 76.1 feet