Question

Find the value of x. Round your answer to the nearest tenth of a unit.

Answer 1

x ≈ 21.4

Explanation:

Using the sine ratio in the right triangle

sin31° =
`(opposite)/(hypotenuse)` =
`(11)/(x)` ( multiply both sides by x )

x × sin31° = 11 ( divide both sides by sin31° )

x =
`(11)/(sin31)` ≈ 21.4 ( to the nearest tenth )

Answer 2

Sin31°= 11/x

x = 11/Sin31

x= 21.4. ( Nearest tenth).