A mailbox that is 36 inches tall is beside a tree. The length of the mailboxes shadow is 28 inches. The length of the trees shadow is 98 inches. How tall is the tree in feet.

10.5 feet

Step-by-step explanation:

In this problem, we have two similar triangles:

- One consists of the mailbox, its shadow and the hypothenuse

- The other one consists of the tree, its shadow and the hypothenuse

The two triangles are similar, so they have same proportions between their sides: therefore, we can apply the rule of three:

where

m = 36 in is the height of the mailbox

is the shadow of the mailbox

t is the height of the tree

is the length of the shadow of the tree

Solving for t, we find the height of the tree:

And since

1 feet = 12 inches

The height of the tree in feet is

step-by-step explanation:

the true ones are a b and d

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