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14 votes
Solve for the missing length using trig. Use the calculator below to help you. Round your answer to the nearest tenth. The reference angle measures 190.

Solve for the missing length using trig. Use the calculator below to help you. Round-example-1
User Itenyh
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2.6k points

1 Answer

18 votes
18 votes

As shown in the figure : we have a right angle triangle

We need to find the value of x

The hypotenuse of the triangle = 29

And x represents the opposite side of the angle 19

So,


\begin{gathered} \sin 19=(opposite)/(hypotenuse) \\ \\ \sin 19=(x)/(29) \\ \\ x=29\cdot\sin 19\approx9.44 \end{gathered}

rounding the answer to the nearest tenth

So,


x=9.4

User Gap
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2.7k points