ANSWER:
Angles:
41°
49°
90°
Sides:
a = 13.6
b= 11.8
c = hypotenuse = 18
STEP-BY-STEP EXPLANATION:
We can calculate the sides a and b, with the use of trigonometric ratios, like this:
[tex]\begin{gathered} \sin \theta=\frac{\text{opposite}}{\text{hypotenuse}} \\ \text{ replacing} \\ \sin 41=\frac{b}{18} \\ b=\sin 41\cdot18 \\ b=11.8 \\ \\ \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \text{ replacing} \\ \cos 41=\frac{a}{18} \\ a=18\cdot41 \\ a=13.6 \\ \\ \alpha=180-90-41 \\ \alpha=49\text{\degree} \end{gathered}[/tex]
