Question

Use the cosine ratio or the inverse cosine to solve for x. Round your answer to the nearest tenth.

Answer 1

x ≈ 12.6 m

Explanation:

By using cosine ratio in the given right triangle RTS,

cos(S)° =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

cos(33)° =
`\frac{\text{ST}}{\text{SR}}`

cos(33)° =
`(x)/(15)`

x = 15.cos(33)°

x = 12.58

x ≈ 12.6 m

Therefore, measure of side ST = 12.6 m is the answer.