Question

Find the value of the angle θ rounded to 1 DP.

The diagram is not drawn accurately.

Answer 1

Check the picture below.

`\sin(24^o )=\cfrac{\stackrel{opposite}{y}}{\underset{hypotenuse}{17}}\implies 17\sin(24^o )=y \\\\[-0.35em] ~\dotfill\\\\ \sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{y}}\implies \theta =\sin^(-1)\left( \cfrac{4}{y} \right) \\\\\\ \theta =\sin^(-1)\left( \cfrac{4}{17\sin(24^o )} \right)\implies \theta \approx 35.3^o`

Make sure your calculator is in Degree mode.