A ladder is placed against the side of the house. The top of the ladder is 12 ft above the ground. The base wof the ladder is 5feet away from the house. Find the length of the ladde.
Use pythagoras, a^2+b^2=c^2
a=12, b=5
c^2 = a^2 + b^2
= 12^2 + 5^2
= 144 + 25
= 169 , then square root this number to give
=13 ft. the length of the ladder
:)
arigato
To find the length of the ladder, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this scenario, the ladder acts as the hypotenuse, and the distance from the base of the ladder to the house forms one of the legs of the triangle. The height of the ladder above the ground forms the other leg.
So, using the Pythagorean theorem, we have:
Length of ladder^2 = Distance from base to house^2 + Height of ladder above the ground^2
Plugging in the given values:
Length of ladder^2 = 5^2 + 12^2
Length of ladder^2 = 25 + 144
Length of ladder^2 = 169
To solve for the length of the ladder, we need to find the square root of both sides:
Length of ladder = √169
Length of ladder = 13 feet
Therefore, the length of the ladder is 13 feet.