Question

Find Y

A: 14.3
B: -6.3
C: 7.0
D: 11.6

Answer 1

D

Explanation:

Using the sine ratio in the right triangle

sin51° =
`(opposite)/(hypotenuse)` =
`(9)/(y)` ( multiply both sides by y )

y × sin51° = 9 ( divide both sides by sin51° )

y =
`(9)/(sin51)` ≈ 11.6 ( to 1 dec. place ) → D