What is the value of r?

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r = __ units

jesshobbs
Mar 22, 2018

#1**+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

#1**+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