Question

The foot of a ladder is placed 9 feet away from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of the ladder.

4 feet
15.81 feet
8.81 feet
13 feet

Answer 1

15.81 ft .

Explanation:

This question is based on " Pythagoras Theorem " . If we imagine the given situation as a right angled triangle , then the base will be " 9ft " , and the perpendicular will be " 13 ft" . And the length of the ladder will be equal to hypontenuse of the triangle.

Using Pythagoras Theorem :-

`\implies\rm h^2= p^2+b^2 \\\\\implies\rm h^2 = (9ft)^2+(13ft)^2 \\\\\implies\rm h^2 = 81 ft^2 + 169 ft^2 \\\\\implies\rm h^2 = 250ft^2 \\\\\implies \boxed{ \rm Ladder's \ Length = 15.81 \ ft }`

Hence the length of the ladder is 15.81 ft.