3D trig question (1 Viewer)

[bally24]

This question is from the prelim maths in focus book (p272) - studying for half yearly.

A cylinder with radius 4cm and perpendicular height 15cm is tilted so that it will just fit inside a 12cm high box. at what angle must it be tilted?

Answer 16° 50'

i have no idea where to start - any help would be great! ill try to add the diagram later.

 

[Riviet]

Solution attached. If you use t-results to solve the equation, you should get 10t²-15t+2=0, where t=tan(@/2), @=16^o50', which is your answer.

 

[bally24]

thanks that's great. that would explain why i found it so hard, we did trig so long ago and i completely forgot about the t formulas. thanks for your help