A 20 ft. beam leans against a wall. The beam
reaches the wall 13.9 ft. above the ground.
What is the measure of the angle formed by the
beam and the ground?

A 20 ft beam leans against a wall The beam reaches the wall 139 ft above the ground What is the measure of the angle formed by the beam and the ground class=

Respuesta :

Answer:

a     44°

Step-by-step explanation:

Think of the right triangle formed by the beam, the ground, and the wall.

The beam is the hypotenuse. For the angle between the ground and the beam, call it angle A, the 13.9 ft side is the opposite leg. The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

sin A = 13.9/20

sin A = 0.695

A = sin^-1 0.695

A = 44°