Answer:
The ladder is 5.20 feet tall on the side of the building
Step-by-step explanation:
Here, we simply want to calculate the height the ladder is from the base of the building
To get this, we need a pictorial representation of what we have here.
From what we have here, we have a right-angled triangle with a hypotenuse of 10 foot and a base of 3 feet
We apply Pythagoras’ theorem to get how far is the tip of the ladder from the base of building
Pythagoras’ stated that the square of the hypotenuse equals the sum of the squares of the two other sides
In this case, let the height be x
So;
x^2 + 3^2 = 6^2
x^2 = 6^2 - 3^2
x^2 = 36 - 9
x^2 = 27
x = √27
x = 5.196 feet
which to two decimal places is 5.20 feet
