Question

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

A. 0.71
B. 0.81
C. 0.07
D. 0.58

Answer 1

The real answer is 0.81

Explanation:

Answer 2

The Pythagorean Theorem

a^2+b^2=c^2
a=5
b=7
5^2+7^2=c^2
25+49=c^2--------------------c=(74)^0.5=8.60 inches

Since sin = opposite/hypotenuse
sin theta=5/8.60
sin theta=0.5814