princeevee
Answered

What is the measure of ∠R ?




Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

What is the measure of R ? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. class=

Verified Answer :

calculista

Answer:

\((m

Step-by-step explanation:

we know that


In the right triangle RST

\(sin(R\°)=\frac{ST}{RT}\) -----> opposite side to angle R divided by the hypotenuse


substitute the values

\(sin(R\°)=\frac{30}{40}\)

\((m

abidemiokin

The measure of <R to the nearest hundredth is 48.59 degrees

SOH CAH TOA identity

From the given figure, we have the following parameters

Opposite to <R = 30cm

hypotenuse = 40cm

Using the theorem;

sin theta = opp/hyp

sin<R = 30/40
sin<R = 0.75

<R = 48.59 degrees

Hence the measure of <R to the nearest hundredth is 48.59 degrees

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777