Mathematics: A tree cast a 32.5-foot-long shadow at the same time a 24 foot flagpole cast a 15 foot-long shadow. Find the height of the tree

well what s the subject and what were u doing before u went off...

A tree cast a 32.5-foot-long shadow at the same

dani595

20.01.2022

The height of tree is 52 feet

Solution:

Given that,

Let, Height of tree = x

shadow of tree = 32.5 feet

height of flagpole = 24 foot

shadow of flagpole = 15 foot

Set up a proportion comparing the height of each object to the length of the shadow

Therefore,

$\frac{ \text{ Height of tree }}{ \text{ shadow of tree }} = \frac{ \text{height of flagpole }}{ \text{ shadow of flagpole} }$

Substituting the values we get,

$\frac{x}{32.5} = \frac{24}{15}\\\\15x = 24 \times 32.5\\\\15x = 780\\\\x = 52$

Thus height of tree is 52 feet

0,0(0 оценок)