Question

You are making a door stopper from a

block of wood. When the door.rests against the stopper,
you want the corner of the stopper to extend through the
width of the door. If the bottom of the 1.7-inch wide door
is 0.7 inch off the ground, what is the angle of the
door stopper?

Answer 1

22°

Explanation:

Two legs of a right triangle are given, so the tangent relation is the one that is relevant to finding the angle.

Tan = Opposite/Adjacent

tan(α) = 0.7/1.7

α = arctan(7/17) ≈ 22.4°

The angle of the door stop is about 22°.