David the monkey is looking down at a 33° angle from the top of a tree. There are bananas on the ground 42.7 ft from the base of the tree. If David flies down from the tree in a diagonal path, as shown in the diagram, what distance would he travel? Round to the nearest tenth.

Answer 1

We form a rt. triang:
X = 42.7 Ft = Hor. side.
Y = Ht of tree = Ver. side.
Z = Diag. = Hyp.
A = 33 Deg. = Angle bet. hyp and gnd.

Z = X/cosA = 42.7 / cos33 = 50.9 Ft. =
Dist .traveled.