Question

Casho is 1.35 meters tall. At 2 p.m., she measures the length of a tree's shadow to be 16.95 meters. She stands 12.8 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answer 1

5.51 m

Explanation:

16.95 - 12.8 = 4.15 Therefore, Casho is standing 4.15 m from the end of the tree's shadow.

Now use ratios to find the height of the tree.

16.95/4.15 = h/1.35

h = (16.95/4.15) x 1.35 = 5.513855422...= 5.51 m