Question

What is the measure of angle R?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
​m∠R=​ °

Answer 1

22.62 degrees

Explanation:

STEP 1: Write the given details

Opposite = 5cm

hypotenuse = 13cm

R = ?

STEP 2: Write the applicable sine ratio

`sin \: = (opposite)/(hypotenuse)`

STEP 3: Find R

`sin \: r \: = (5)/(13) \\ \\ sin \: r \: = 0.38461538462 \\ \\ r \: = \: \sin { }^( - 1) ( 0.38461538462) \\ \\ r \: = \: 22.61986494804 \\ \\ r = 22.62 \: degrees`