A right triangle has a 35 degree angle. The
opposite leg to that angle is 12 m long.
Find the hypotenuse.

The answer to your question is 20.92 m

Step-by-step explanation:

Data

m∠A = 35°

Opposite leg = 12 m

hypotenuse = ?

Process

To solve this problem use trigonometric functions. We must look for a trigonometric function that relates the Opposite side and the hypotenuse.

sin Ф  = Opposite side /hypotenuse

 cosФ = Adjacent side/ hypotenuse

 tan Ф = Opposite side/hypotenuse

The trigonometric function that relates the Opposite side and the hypotenuse is sine.

-Solve for hypotenuse

         hypotenuse = Opposite side / sin Ф

-Substitution

          hypotenuse = 12 / sin 35

-Simplification

          hypotenuse = 12/0.57

-Result

          hypotenuse = 20.92 m

68719476736

step-by-step explanation:

8*8*8*8*8*8*8*8*8*8*8*8=68719476736