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

7.8cm

Step-by-step 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) = (opposite)/(hypotenuse)`

`\sin(40 \degree) = (5)/(hypotenuse)`

hypotenuse =5÷sin(40°)

hypotenuse=7.77cm