Question

Sarah, who is 1.72 m tall, wishes to find the height of a tree. She walks 18.77

m from the base of the tree along the shadow of the tree until her head is
in a position where the tip of her shadow exactly overlaps the end of the
tree top's shadow. She is now 5.38 m from the end of the shadows. How
tall is the tree? Round to the nearest hundredth. *

Answer 1

7.7 m

Explanation:

let's give the tree height T

T = 1.72 × (18.77+5.38)/5.38

T = 1.72 × 24.15/5.38

T = 41.538/5.38

T ≈ 7.7 m