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

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,

Substituting the values we get,

Thus height of tree is 52 feet

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

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step-by-step explanation: