Question

zoe is 1.55 meters tall. at 2 pm she measure the lenght of a tree's shadow to be 17.35 meters . she stands 12.7 meters away from the tree so that the tip of her shadow meets the tip of tye tree's shadow. find the height of yhe tree to the nearest hundredth of a meter.

Answer 1

the figure below to better undesrtand the problem

Applying proportion

h/17.35=1.55/(17.35-12.70)

solve for h

h=17.35*1.55/4.65

h=5.78 m