Albert is looking up at a tree. He is 25 feet from the base of the tree. The line of sight to the top of the tree is 27 feet.
The tree is approximately how tall?
A right triangle is created with a leg of 25 feet (distance from tree), hypotenuse of 27 (line of sight),
and an unknown leg. Pythagorean Theorem is a² + b² = c² a and b are the legs, and c is the hypotenuse 25² + b² = 27² {substituted into Pythagorean Theorem} 625 + b² = 729 {evaluated exponents} b² = 104 {subtracted 625 from each side} b ≈ 10.2 {took square root of each side} Disregarding Albert's height, because it was not stated, the height of the tree is approximately 10.2 feet. Ask the House
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February 2023
