A tree and a building stand side by side. The 5-foot tall tree cast a shadow of 12 feet. If the building is 80 feet tall, how lo

Question

3 years ago

11

ng is it's shadow

1 answer:

SpyIntel [72] · Answer 1 · 2022-08-24T01:34:31+03:00

Answer:

The shadow of the building = 192 ft.

Step-by-step explanation:

∵ There is a proportional relation between the heights of the tree and the building and their shadows

∴ Height tree/height building = shadow tree/shadow building

$\frac{5}{80}=\frac{12}{x}$

x = $\frac{(80)(12)}{5}$ = 192 ft ⇒ x is the length of the shadow of the building