Question

A tree is 18 feet tall and casts a shadow

that is 22 feet long. How far is it from the
end of the shadow to the top of the tree?
Show your work.

Answer 1

28.42 feet

Explanation:

Given

• Height of tree = 18 feet
• Length of shadow = 22 feet

To Find

• Distance b/w top of tree and end of shadow

Solving

• This resembles a right triangle
• ⇒ We can use Pythagorean Theorem!
• ⇒ 18² + 22² = L²
• ⇒ L² = 324 + 484
• ⇒ L² = 808
• ⇒ L = 2√202
• ⇒ L = 2 x 14.21
• ⇒ L = 28.42 feet

Answer 2

28.4 feet

Explanation:

The question can be solved by using Pythagoras Theorem.

Given:-

Height of tree :- 18 feet (Perpendicular)

length of shadow :- 22 feet (Base)

To find:-

Distance of shadow from the end to the top of the tree

Solution:-

We know the Pythagoras theorem,

Which is , H² = P² + B²

So putting the given value , we get

H² = 18²+22²

H² = 324 + 484

H = √ 808 feet

H = 28.4 feet