Question

in a right triangle with one angle measuring 40 degrees, the leg opposite the 40 degree angle is 5cm. what is the length of the hypotenuse?

Answer 1

ANSWER

7.8cm

EXPLANATION

Given an acute angle of the right triangle to be 40°, the two sides of the triangles involve are the opposite side and the hypotenuse.

The trigonometric ratio that, involves opposite side and the hypotenuse is the sine ratio.

$\sin(40 \degree) = \frac{opposite}{hypotenuse}$

$\sin(40 \degree) = \frac{5}{hypotenuse}$

hypotenuse =5÷sin(40°)

hypotenuse=7.77cm