Question

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.

Answer 1

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,

$\begin{gathered} \sin 19=\frac{opposite}{hypotenuse} \\ \\ \sin 19=\frac{x}{29} \\ \\ x=29\cdot\sin 19\approx9.44 \end{gathered}$

rounding the answer to the nearest tenth

So,

$x=9.4$