Question

2) A 25 foot ladder leans against a house. The base of the ladder is 7 feet

away from the house. What is h, the height of the house? #2 pleasee

Answer 1

Answer is 35 ft height of house

Step by step

Using Pythagorean theorem, we can find the height of the right triangle

We know a= 7, we know c= 25, we need to find b

a^2 + b^2 = c^2

7^2 + b^2 = 25^2
49 + b^2 = 625
Subtract 49 from both sides to solve b
49 - 49 + b^2 = 625 - 49
b^2 = 576
Take square root of both sides

√ b^2 = √ 576
b = 24 ft

Now according to the drawing, the ladder did not go to the top of the house, we need to add 11 ft to 24 ft = 35 ft total height