Chapter E, Problem 8.10EX

To determine

To identify the equation, which is used to find the value of $x$ .

Answer to Problem 8.10EX

Option (a)

Explanation of Solution

Given information: A right angled triangle.

Concept used:

In right angles triangle,

$\sin \theta$	$\cos \theta$	$\tan \theta$
P	B	P
H	H	B

Where, P, B and H be the perpendicular, base and hypotenuse of right angled triangle.

By Pythagoras theorem, $B^2+P^2=H^2$

  $\sin {32}^{°}=\frac{P}{H}=\frac{x}{18.9}$

  $\tan {46}^{°}=\frac{B}{P}=\frac{10.4}{x}$

  $\cos {58}^{°}=\frac{B}{P}=\frac{x}{18.9}$