Question

In ΔRST, the measure of ∠T=90°, RT = 33, SR = 65, and TS = 56. What is the value of the sine of ∠S to the nearest hundredth?

Answer 1

Sin (∠S) = 0.51 (to the nearest hundredth)

Explanation:

From the diagram, Let ∠S = θ

Therefore: Sin θ =
`(Opposite)/(Hypothenuse)`

Where:

Opposite = 33

Hypothenuse = 65

∴ Sin θ =
`(33)/(65)` = 0.51

∴ Sin θ = 0.51 (to the nearest hundredth)