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

Answer:
x ≈ 12.6 m
Step-by-step explanation:
By using cosine ratio in the given right triangle RTS,
cos(S)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(33)° = [tex]\frac{\text{ST}}{\text{SR}}[/tex]
cos(33)° = [tex]\frac{x}{15}[/tex]
x = 15.cos(33)°
x = 12.58
x ≈ 12.6 m
Therefore, measure of side ST = 12.6 m is the answer.