Question

Solve for x. Round to the nearest tenth, if necessary.

Answer 1

Answer:2.8

Explanation:

By using sine ratio , sine40°=opposite/hypotenuse

or, sine40°= 1.8/

or, x= 1.8/sine40°

or,x= 2.8003.......

or,x =2.8

Answer 2

x ≈ 2.8

Explanation:

using the sine ratio in the right triangle

sin40° =
`(opposite)/(hypotenuse)` =
`(PQ)/(OQ)` =
`(1.8)/(x)` ( multiply both sides by x )

x × sin40° = 1.8 ( divide both sides by sin40° )

x =
`(1.8)/(sin40)` ≈ 2.8 ( to the nearest tenth )