princeevee
contestada

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=

Respuesta :

calculista

Answer:

[tex](m<R)=48.59\°[/tex]

Step-by-step explanation:

we know that

In the right triangle RST

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

substitute the values

[tex]sin(R\°)=\frac{30}{40}[/tex]

[tex](m<R)=arcsin(\frac{30}{40})=48.59\°[/tex]

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

Otras preguntas