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

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%