Question

5 2 in the above triangle, would you use SINE, COSINE, or TANGENT to solve for the missing sade (TYPE IN ALL CAPS)? The measure of the missing angle is (ROUND TO THE NEAREST DEGREE) 1 2 3 4 5

Answer 1

Let x be the angle we need to find. Notice that we know the hypotenuse and the adjacent side to angle x; therefore, we need to use the following formula

$\cos x=\frac{A}{H}$

Thus, the first answer is COSINE.

Solving for x,

$\begin{gathered} \cos x=\frac{A}{H} \\ \Rightarrow\cos x=\frac{4}{5} \\ \Rightarrow x=\cos ^{-1}(\frac{4}{5}) \\ \Rightarrow x=36.87\text{dgr} \\ \Rightarrow x\approx37dgr \end{gathered}$

Therefore, the second answer is x=37°