Atelephone pole that is 12 ft. tall has fallen against a house. if the top of the telephone pole touches the house 10 ft. above the ground, what is the angle that the telephone pole makes with the ground?

The correct answer is, second option

the angle that the telephone pole makes with the ground = 56.4°

Step-by-step explanation:

It is given that,

A telephone pole that is 12 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 ft. above the ground

From the figure attached with this answer shows the pictorial representation of the scenario.

We have to find the <B

To find the angle

We have, trigonometric ratio

sin x = Opposite side / Hypotenuse

sin x = 10/12 = 0.8333

x = sin ⁻¹(0.8333)

<x = 56.4°

Second option is the correct answer.