A building is 1 ft from a 1t surrounds the property A worker
A building is 1 ft from a 1t surrounds the property. A worker wants to wash a window in the building 13 ft from the ground.ground. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?
Solution
solution
drawn a right triangle, and you have a height of 13 and a base of 10 The formula for finding the hypotenuse (the ladder) is a^2+b^2=c^2, where a and b are the sides of the triangle. Plug in your values and do the math:
height is 13 ft
base is 9 ft. + 1 ft = 10 ft
hypotenuse is the ladder.
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Equation: ladder^2 = 13^2 + 10^2
ladder = sqrt[169+100]
ladder = 16.40 ft.
