A 10-m boom lifts material onto a roof in need of repair. Determine the exact vertical displacement of the end of the boom when the operator lowers it from 60° to 30°.
This will involve the sin function.
The vertical displacement will be 10*(sin(60°) - sin(30°))m (I'm assuming the angle is between the boom and the horizontal).
sin(60°) = (√3)/2 and sin(30°) = 1/2
I'll leave you to complete the calculation.