Question

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.

The angle made by the ladder with the ground is_____________ degrees, and the length of the ladder is___________ inches

Answer 1

To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34

To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04