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Evgen [1.6K]
3 years ago
6

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?
Mathematics
1 answer:
frutty [35]3 years ago
5 0

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

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