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For the right triangle below, find the length of ‘x’. Round to the hundredths

For the right triangle below, find the length of ‘x’. Round to the hundredths-example-1
User Tiara
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1 Answer

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GIVEN

A right triangle with a hypotenuse of length 15 units and an angle of 28 degrees.

SOLUTION

Recall the Sine Trig Ratio:


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

From the triangle, the following parameters can be had:


\begin{gathered} \theta=28\degree \\ opp=x \\ hyp=15 \end{gathered}

Substitute known values:


\begin{gathered} \sin28=(x)/(15) \\ \therefore \\ x=15*\sin28 \\ x=7.04 \end{gathered}

The value of x is 7.04 units, rounded to the nearest hundredths.

User Robbie Milejczak
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