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

Question

4 years ago

6

hypotenuse?

1 answer:

frutty [35] · Answer 1 · 2021-12-03T21:10:31+03:00

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