SOLUTION: The legs of a right triangle measure 5 inches and 7 inches. If is the angle between the 5-inch leg and the hypotenuse, sin = _____.

Algebra ->  Triangles -> SOLUTION: The legs of a right triangle measure 5 inches and 7 inches. If is the angle between the 5-inch leg and the hypotenuse, sin = _____.      Log On


   



Question 963200: The legs of a right triangle measure 5 inches and 7 inches. If is the angle between the 5-inch leg and the hypotenuse, sin = _____.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
First find the length of the hypotenuse.
c^2 = 5^2 + 7^2
c^2 = 25 + 49
c^2 = 64
c = sqrt(64) = 8
Since sin = opposite/hypotenuse,
sin = 5/8 = 0.625