The legs of a right triangle measure 5 inches and 7 inches. if theta is the angle between the 7 inch leg and the hypotenuse, sin theta =

sinx = 7/sqrt(74) = .81

sin (θ) = 0,58

Step-by-step explanation:

The formula for sin (θ) is:

sin (θ) = (opposite side)/hypotenuse

The opposite side to the θ angle is the one that measures 5 inches, but we don’t know the measure of the hypotenuse. The Pythagoras theorem gives us the following formula:

side 1²+ side 2²= hypotenuse²

Then,

5²+7²=74

√74= 8,60 inches; this is the measure for the hypotenuse.

Replacing this value in the formula for sine:

sin (θ) = 5/8,60  = 0,58

first one because it can't have a fraction in it

step-by-step explanation: