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What is the value of r?

 

Enter your answer in the box.

Round your final answer to the nearest whole number.

 

r = __ units

jesshobbs  Mar 22, 2018

Best Answer 

 #1
avatar+6943 
+3

sin of an angle  =  length of side opposite that angle / length of hypotenuse

 

So in this case...

 

sin 53.1°  =  4 / r       Multiply both sides of the equation by  r .

 

r sin 53.1°  =  4         Divide both sides of the equation by  sin 53.1°

 

r  =  4 / sin 53.1°       Plug this into a calculator to get...

 

r  ≈  5

hectictar  Mar 22, 2018
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1+0 Answers

 #1
avatar+6943 
+3
Best Answer

sin of an angle  =  length of side opposite that angle / length of hypotenuse

 

So in this case...

 

sin 53.1°  =  4 / r       Multiply both sides of the equation by  r .

 

r sin 53.1°  =  4         Divide both sides of the equation by  sin 53.1°

 

r  =  4 / sin 53.1°       Plug this into a calculator to get...

 

r  ≈  5

hectictar  Mar 22, 2018

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