Chapter 12.9, Problem 11CYU

To determine

To calculate: the value of angle to the nearest degree and to write the corresponding inverse trigonometric function.

Answer to Problem 11CYU

  $\theta ={\tan }^{-1}\left(\frac{6.2}{18}\right),{19}^{\circ }$

Explanation of Solution

Given: Figure of cross section of a superpipe is given as below:

  

Value of given angle is to be found out. Length of perpendicular is 6.2 ft & that of base is 18 ft.

Formula used:

  $\tan \theta =\frac{\text{perpendicular}}{\text{base}}$

Calculation:

  $\begin{array}{l}\tan \theta =\frac{6.2}{18}\\ \Rightarrow \theta ={\tan }^{-1}\frac{6.2}{18}\\ \Rightarrow \theta ={19}^{\circ }\end{array}$