Question

An A-frame house is 45 feet high and 32 feet wide. Find the measure of the angle that the roof makes with the floor. Round to the nearest degree.

Answer 1

Angle,
`\theta=70.4^(\circ)`

Explanation:

We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.

The attached figure shows the A frame. Let
`\theta` is the angle that the roof makes with the floor. So,

`\tan\theta=(45)/(16)\\\\\tan\theta=2.81\\\\\theta=\tan^(-1)(2.81)\\\\\theta=70.4^(\circ)`

So, the angle of 70.4 degrees is the angle that the roof makes with the floor.