Question

A giant rectangular sheet of cardboard, 20 m x 10 m, is made into a lidless box by cutting squares out of the corners. The volume this box can hold is 96 m3. What are the possible dimensions of the squares that were cut out of the corners to create this box?

Answer 1

A goldfinch is flying 13 metres away from a bird box that is on top of a pole.
The angle of depression from the goldfinch to the base of the pole is 32°
What is the distance between the goldfinch and the base of the pole?
Give your answer to 2 d.p.