Question

A right triangle is given. Determine the value for x.

A. 6.5
B. 7.1
C. 11.1
D. 13.2

Answer 1

Answer: 13.2 (D)

Explanation:

sin 40 = 8.5/x
0.6428x = 8.5

x = 8.5 / 0.6428

= 13.2

Answer 2

Answer: 13.2

Work Shown

sin(angle) = opposite/hypotenuse

sin(40) = 8.5/x

x*sin(40) = 8.5

x = 8.5/sin(40)

x = 13.2237 approximately

x = 13.2