Question

• A* * * * X Trig Ratios Practice 4 POSSIBLE POINT 42 40 In the above triangle, would you use SINE, COSINE, or TANGENT to solve for the missing side (TYPE IN ALL CAPS)? The measure of the missing angle is (ROUND TO THE NEAREST DEGREE). 1 2 3 4 5 6 7 8

Answer 1

As given by the question

There are given that the triangle.

Now,

For finding the missing side, use the tangent and cosine function.

Hence, the tangent and cosine functions are to be used to find the sides.

Now,

For find the angle, use sine function:

`\begin{gathered} \sin x=(40)/(42) \\ si\text{nx=}0.9 \\ x=\sin ^(-1)0.9 \end{gathered}`

Then,

`\begin{gathered} x=\sin ^(-1)0.95 \\ x=71.80 \end{gathered}`

Hence, the angle of the given triangle is 71.8 degrees.