Question

A 14 ft-long ladder is leaning against a wall. The base of the ladder is 8 feet from the wall. What angle doesthe ladder make with the ground? Round to the nearest degree

Answer 1

Approximately 55º

1) Let's draw this

1) Firstly, Since we want to find the angle, let's find the missing side

a²=b²+c²

14²=b²+8²

196=b²+64

132=b²

b=2√33

2) Now let's find the angle

`\begin{gathered} \tan ^(-1)(\theta)=(2√(33))/(8) \\ \theta=55 \end{gathered}`