Question

Work out the size of angle y in the

right-angled triangle below.
Give your answer in degrees.
2 m
√√3m
Y

Answer 1

Check the picture below.

`\cos(y )=\cfrac{\stackrel{adjacent}{√(3)}}{\underset{hypotenuse}{2}} \implies \cos^(-1)(~~\cos( y )~~) =\cos^(-1)\left( \cfrac{√(3)}{2} \right) \\\\\\ y =\cos^(-1)\left( \cfrac{√(3)}{2} \right)\implies y =30^o`

Make sure your calculator is in Degree mode.