Question

Find the value of x. Round to the nearest tenth
A. 4.6
B. 5.0
C. 7.8
D. 9.3

Answer 1

C. 7.8

Explanation:

This problem involves the use of a trigonometric ratio. This one specifically involves the use of cosine as it provides the leg adjacent to the angle and the hypotenuse.

cos(40) = 6/x

cos(40)*x=6/x*x

cos(40)*x=6

cos(40)/cos(40)*x=6/cos(40)

x=6/cos(40)

x=7.83

The value of x is C. 7.8