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Solve for x. Round to the nearest hundredth.

Solve for x. Round to the nearest hundredth.-example-1
User Sid Go
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1 Answer

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Given that the length of the hypotenuse is 8 and the angle is 42°

The length of the one leg of the triangle is x.

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;


sin \ \theta=(opp)/(hyp)

Substituting the values, we get;


sin \ 42^(\circ)=(x)/(8)

Multiplying both sides of the equation by 8, we get;


sin \ 42^(\circ)*8=x

Simplifying, we get;


0.669 * 8=x


5.352\approx x

Therefore, the value of x is 5.35(app.)

Hence, Option A is the correct answer.

User Susi
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