Question

A monkey is swinging from a tree. On each swing she travels along an arc that is 75% as long as the previous swing arc. The total length of the arcs from her first 4 swings is 175m.

Answer 1

The first swing is 64m

Explanation:

The complete question asks for how long the first swing is.

The monkey is swinging from the tree with each swing being along an arc, where each arc is 75% of the previous arc. Also, given that its first four swings is 175cm, we can denote her first swing as y.

This means the second swing would be = 0.75y

The third would be = 0.75(0.75y) = 0.5625y

The fourth would be = 0.75(0.5625y) = 0.421875y

Since the total is 175, we have

y + 0.75y + 0.5625y + 0.421875y = 175

2.734375y = 175

y = 175/2.734375

y = 64m