Question

A 22 foot ladder leans against a building. The ladders base is 8 feet from the building. Find the angle which the ladder makes with the ground . Solve for the value of x round to the nearest degree.

Answer 1

Answer: tanx = 22/8, and x= 70

Step-by-step explanation:

Given:

height = 22 feet

base = 8 feet

We draw a triangle and plug in the given values.

To get the value of x, we use

`\begin{gathered} \text{tangent x = }\frac{\text{opposite}}{\text{adjacent}} \\ \text{Substitute the opposite and adjacent values} \\ \tan \text{ x= }(22)/(8) \\ \text{Therefore the value to solve the equation of x is }\tan \text{ x= }(22)/(8) \\ \text{The value of :} \\ \text{x = tan}^(-1)((22)/(8))\text{ } \\ x=70\mathring{} \end{gathered}`