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Can you please hely me and tell me if my answer is right

Can you please hely me and tell me if my answer is right-example-1

1 Answer

4 votes

Answer:

x = (8√3)/3

Explanation:

Reference angle = 30°

Hypotenuse = x

Side length adjacent to reference angle = 4

Apply CAH, thus:

Cos 30 = Adj/Hyp

Cos 30 = 4/x

x × Cos 30 = 4

x = 4/Cos 30

x = 4/(√3/2) (cos 30 = √3/2)

x = 4 × 2/√3

x = 8/√3

Rationalize

x = (8 × √3)/(√3 × √3)

x = (8√3)/3

User Jason Cheow
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