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What is the value of x?        

 

6

6√2

12

12√2

Guest May 5, 2017

Best Answer 

 #1
avatar+7155 
+3

sin θ = opposite / hypotenuse

sin (45º) = 6√2 / x

 

Multiply both sides by x.

x sin (45º) = 6√2

 

Divide both sides by sin(45º).

x = 6√2 / sin (45º)

 

Replace sin (45º) with √2/2 and simplify.

x = 6√2 / (√2/2)

x = 6√2 * 2/√2

x = 12

hectictar  May 5, 2017
 #1
avatar+7155 
+3
Best Answer

sin θ = opposite / hypotenuse

sin (45º) = 6√2 / x

 

Multiply both sides by x.

x sin (45º) = 6√2

 

Divide both sides by sin(45º).

x = 6√2 / sin (45º)

 

Replace sin (45º) with √2/2 and simplify.

x = 6√2 / (√2/2)

x = 6√2 * 2/√2

x = 12

hectictar  May 5, 2017

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