A ladder leaning against a house makes an angle of 30° with the ground. the foot of the ladder is 7 feet from the foot of the house. how long is the ladder?

Question

Mathematics

Ryland Berry

6 October, 13:20

A ladder leaning against a house makes an angle of 30° with the ground. the foot of the ladder is 7 feet from the foot of the house. how long is the ladder?

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Answers (1)

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Roy West · Answer 1

Let L be the length of the ladder. The ladder and the side of the house form a right triangle with the ladder being the hypotenuse and the house wall being the side opposite the 30 degree angle. We have a theorem that says that in a right triangle the side opposite a 30 degree angle is half the hypotenuse, in this case L/2.