Question

Solve the tringle round your answers to the nearest tenth

Answer 1

Angles:

41°

49°

90°

Sides:

a = 13.6

b= 11.8

c = hypotenuse = 18

Explanation:

We can calculate the sides a and b, with the use of trigonometric ratios, like this:

`\begin{gathered} \sin \theta=\frac{\text{opposite}}{\text{hypotenuse}} \\ \text{ replacing} \\ \sin 41=(b)/(18) \\ b=\sin 41\cdot18 \\ b=11.8 \\ \\ \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}} \\ \text{ replacing} \\ \cos 41=(a)/(18) \\ a=18\cdot41 \\ a=13.6 \\ \\ \alpha=180-90-41 \\ \alpha=49\text{\degree} \end{gathered}`