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What is the measure of angle R?

 

(As a decimal rounded to the nearest hundreth)

 Apr 16, 2018
 #1
avatar+974 
+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. 

 Apr 16, 2018
 #2
avatar+121 
+2

yup, thank you

AgentFatboy  Apr 16, 2018
 #3
avatar
+2

A small typo in radians. It should read 0.49 radians.

 Apr 17, 2018

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