Question

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

Answer 1

We have been given that in ΔRST, the measure of ∠T=90°, SR = 65, TS = 33, and RT = 56. We are asked to find the value of sine of ∠R to the nearest hundreth.

First of all, we will draw a right triangle using our given information.  

We know that sine relates opposite side of right triangle to hypotenuse.

We can see that side SR is hypotenuse and TS is opposite side to angle R.

$\sin(\angle R)=\frac{SR}{TS}$

$\sin(\angle R)=\frac{65}{33}$

$\sin(\angle R)=1.96969$

Upon rounding to nearest hundredth, we will get:

$\sin(\angle R)\approx 1.97$

Therefore, the value of the sine of ∠R is approximately 1.97.