Question

Instructions: Find the missing side. Round your answer to the nearest tenth. х 38° 30 X =

Answer 1

Let us call the third angle in the triangle y

y = 180 - 90-38 = 52 degrees ( sum of angles in a triangle is 180 degrees)

using trigonometric ratio

$\sin \text{ 52=}\frac{\text{opposite}}{\text{hypothenuse}}$

opposite = x

hypothenuse = 30

$\begin{gathered} \sin 52\text{ =}\frac{x}{30} \\ x=\text{ 23.64032261} \end{gathered}$

To the nearest tenth x = 23.6