Question

Find the value of x. Round to the nearest degree. 10 15 Not drawn to scale a. 48 b. 42 c. 34

Answer 1

From the diagram above

Opp = 10

Hyp = 15

Angle = x

$\begin{gathered} By\text{ using the trigonometry formular we have.} \\ \sin \theta\text{ =}\frac{\text{Opp}}{\text{Adj}} \\ \sin \text{ x =}\frac{10}{15} \\ \sin \text{ x = 0.666} \\ x=sin^{-1}(\text{0.666}) \\ x\text{ = 41.8}\approx\text{ 42} \\ \end{gathered}$