Question

What is the exact height of a right triangle with an angle that measures 30 degrees adjacent to a base of 6?

Answer 1

Solution

Step-by-step explanation:

We are to determine the opposite length given an angle of 30 degrees and an adjacent side of 6

we would make use of tan 30

tan 30 = opposite / adjacent

$\begin{gathered} \tan \theta=\frac{\text{opp}}{\text{adj}} \\ \tan 30=\frac{x}{6} \\ x=6\tan 30 \\ x=6(0.5774) \\ x=3.464 \end{gathered}$

Therefore the exact height of the triangle = 3.46