Question

Brendan has a crate, open at the top, in the shape of a cuboid. The internal dimensions of the crate are 46cm long by 46cm wide by 70cm high. Brendan has a stick of length 90cm. he places the stick in the crate so that the shortest possible length extends out above the top of the crate. A) Calculate the length of the stick that extends out of the crate. B) Calculate the angle the stick makes with the base of the crate.

Answer 1

B) 47.9 degrees

Explanation:

Pythagoras: a^2+b^2=c^2

36²+36²=C²

√2592=C

C=50.9cm

Used Trigonometry: SOH CAH TOA

Tan=Opposite/Adjacent

Tan=60/50.9

The angle stick makes when it meets the base:

Tan^-1(60/50.9)

=49.7˚