Question

A ladder is leaning against the side of a house. The base of the ladder is 6 feet from the wall and makes an angle of 42 degrees with the ground. Find the length of the ladder. Round to the nearest tenth. *

Answer 1

Length of Ladder = 8.07 ft

Step-by-step explanation

This can be used making a triangle of the said situation as I have attached a picture of it.

Using trigonometry

Cos (42) = base / hypotenuse

now hypotenuse is required which is the length of the ladder

Base is given = 6 feet from the wall.

Putting in equation

Cos (42) = 6 / hypotenuse

hypotenuse x cos (42) = 6

Hypotenuse x 0.743 = 6

hypotenuse = 6 / 0.743

Hypotenuse = Length of Ladder = 8.07 ft