What is the measure of angle R?

(As a decimal rounded to the nearest hundreth)

AgentFatboy
Apr 16, 2018

#1**+4 **

Here you go:

∠ R = α = 28.072° = 28°4'21″ = 0.49 rad

This is a trigonometry problem. We have to use inverse oprations.

We can use any of the sine, cosine, tangent, cotangent, secant, and cosecant since we know all of the 3 sides.

Let's just say we use sine.

It is basically the ratio of the side opposite to the angle to the hypotenuse.

In this case, it is 8 : 17.

The inverse of sine of 8/17 is 49 rad or about 28 degrees.

I hope this helps.

GYanggg
Apr 16, 2018