Chapter 9.10, Problem 7PSB

To determine

To find:The angle made by the escalator with the floor

Answer to Problem 7PSB

The angle made by the escalator with the floor is ${21.8}^0$

Explanation of Solution

Given information:The following information has been given

Length of the escalator is $80\text{ ft}$

Height of the escalator is $32\text{ ft}$

Formula used:Basic tangent definition has been used

Calculation:We know that is the angle made with the floor is assumed to be equal to x , then we can say that

  $\tan x=\frac{32\text{ ft}}{80\text{ ft}}=\frac{2}{5}$

Now, from the table of trigonometric values, we can say that

  ${\tan }^{-1}\frac{2}{5}={21.8}^0$

Hence, we know that

  $x={21.8}^0$