Question

Find the nearest unit, the length of the longer leg of a right triangle if the length of the hypotenuse is 8 and the measure of an acute angle is 22

Answer 1

Therefore the length of the longer leg is 7.4 unit.

Step-by-step explanation:

Let other two sides of the triangle be x and y

$sin\theta=\frac{height}{hypotenuse}$            and       $cos\theta=\frac{base}{hypotenuse}$

Here height =x and base = y

$sin22^\circ=\frac{x}{8}$   and      $cos22^\circ=\frac{y}{8}$

⇒x= 3                      ⇒ y=7.4

Therefore the length of the longer leg is 7.4 unit.