Chapter 13.9, Problem 4CYP

To determine

To calculate: the value of angle in the given figure round to nearest tenth and to write the corresponding inverse trigonometric function.

Answer to Problem 4CYP

  $\theta ={\tan }^{-1}\left(\frac{5}{12}\right),{22.62}^{\circ }$

Explanation of Solution

Given: Figure of a ski trail is given as below:

  

Value of given angle is to be found out. Length of perpendicular is 5 ft & that of base is 12 ft.

Formula used:

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

Calculation:

  $\begin{array}{l}\tan \theta =\frac{5}{12}\\ \Rightarrow \theta ={\tan }^{-1}\frac{5}{12}\\ \Rightarrow \theta ={22.62}^{\circ }\\ \Rightarrow \theta ={22.6}^{\circ }\text{ (after round off)}\end{array}$