The house is 20.71 feet tall.
What is a right angled triangle?
Any triangle whose one of the angle is 90° is called a right angled triangle.
- In a right angled triangle the side opposite to the right angle is the longest side called the hupotenuse
- We can relate the the 3 sides of a right angled triangle using the Pythagorean theorem.
Hypotenuse² = base² + perpendicular²
How to find the length of the house?
- Here, the tree, the length of the house and the distance between the bottom of the tree and the house forms a right angled triangle, where the tree is the hypotenuse.
- Here the length of the tree is 25 feet and the bottom of the tree is 14 feet away from the house.
Applying the pythagorean theorem,
(25)² = (14)² + (Length of the house)²
⇒ length of the house = [tex]\sqrt{25^{2} - 14^{2} }[/tex]
⇒ length of the house = 20.71 feet
∴ The house is 20.71 feet tall.
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