Answer:
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
