Answer:
20 ft
Step-by-step explanation:
The right triangles formed by Lance and his shadow and the tree and it's shadow are similar, hence the ratios of corresponding sides are equal.
Let the height of the tree be h, then
[tex]\frac{5}{h}[/tex] = [tex]\frac{8}{32}[/tex] = [tex]\frac{1}{4}[/tex]
cross- multiply to obtain
h = 5 × 4 = 20
The height of the tree is 20 ft
