Chapter 13.1, Problem 29PPS

To determine

Calculate the value of $x^{\circ }$ .

Answer to Problem 29PPS

The value of $x^{\circ }$ is ${30}^{\circ }$ .

Explanation of Solution

Given:

It is given in the question that the figure is given below in which p and h is given:

  

Concept Used:

In this, use the concept of pythgoras 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: Here, use the trigonometric ratios,

  $\begin{array}{l}\sin \theta =\frac{p}{h}\\ \sin x^{\circ }=\frac{5}{10}\\ x^{\circ }={\sin }^{-1}(\frac{1}{2})\\ x^{\circ }={30}^{\circ }\end{array}$

Conclusion:

The value of $x^{\circ }$ is ${30}^{\circ }$ .