Question

A building is 2 ft from a 12 ft fence that surrounds the property. A worker wants to wash a window in the building 17 ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 8 ft from the fence for stability. To the nearest tenth of a foot, how long of a ladder will he need?

Answer 1

the ladder would have to be about 19.7 feet tall

Answer 2

Using Pythagoras theorem,  the ladder must be 19.7ft long.

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Perpendicular = height of the window from the ground = 17ft

Base = distance of the foot of the ladder from the base of the building = 10ft

Hypotenuse = $\sqrt{perpendicular^{2} +base^{2} }$

H = $\sqrt{17^{2}+10^{2} }$ = 19.4ft

Length of ladder  = 19.4ft

Learn more about Pythagoras theorem here

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