Distance from the bottom of a ladder to the side of house = 20 feet
Distance from the top of the ladder to the bottom of the window = 50 feet
Distance from the ground to the window =
As we can see a triangle is getting formed here .
The 20 feet side is this triangle's base and the 50 feet side is the leg on which it's right angle is present . This triangle is a right angle triangle . Since it is a right angle triangle let us find it's hypotenuse ( Distance from the ground to the window ) .
= Let us name the triangle as △ DFE .
In △ DFE :-
DF = 50 feet
FE = 20 feet
DE = DF² + FE² ( according to the pythagoras theorem which says that the square on the hypotenuse will be equal to the sum of squares on the other two legs )
= DF² + FE² = DE²
= 50² + 20² = DE²
= 2500 + 400 = DE²
= DE = 53.85 ( hypotenuse )
Therefore , his window is 53.85 feet from the ground .
