Chapter 12.1, Problem 35PPS

To determine

Calculate the value of distance in changing it’s height.

Answer to Problem 35PPS

The value of height x is $25.3$ feet.

Explanation of Solution

Given: It is given in the question that the adult flying squirrels can make glides yup to feet. A flying squirrel glides a horizontal distance of feet and the angle of descent is $9^{\circ }$ .

  

Concept Used:

In this, use the concept of pythagoras theorem and trigonometric ratios and the formula will be $h^2=p^2+b^2$ , $\sin \theta =\frac{p}{h},\cos \theta =\frac{b}{h},\tan \theta =\frac{p}{b},\csc \theta =\frac{h}{p},\sec \theta =\frac{h}{b},\cot \theta =\frac{b}{p}$ .

Calculation:

Let x be the length of the height. In this, an angle, an adjacent side are given.

Here, use the trigonometric ratios,

  $\begin{array}{l}\tan \theta =\frac{p}{b}\\ \tan 9^{\circ }=\frac{x}{160}\\ 0.158=\frac{x}{160}\\ x=160\cdot 0.158\\ x\approx 25.3\end{array}$

Conclusion:

The value of x is $25.3$ feet.