In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C

Since angle C is not 90 degrees, it's one of the acute angles

in the right triangle.

(The side adjacent to angle C) divided by (hypotenuse)

is the cosine of angle C.

(adjacent) / (10 inches) = cos (40 degrees)

Multiply each side by (10 inches):

Adjacent side = (10 inches) x cos (40) =

(10 inches) x 0.766 =

7.66 inches (rounded)