Question

Can someone help me with this?

Answer 1

ST ≈ 10.9 ft

Explanation:

Using the sine ratio in the right triangle

sin32° =
`(opposite)/(hypotenuse)` =
`(US)/(ST)` =
`(5.8)/(ST)` ( multiply both sides by ST )

ST × sin32° = 5.8 ( divide both sides by sin32° )

ST =
`(5.8)/(sin32)` ≈ 10.9 ( to the nearest tenth )