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?

1 Answer
Roella W.
Mar 17, 2016

8.08 feet

Explanation:

The ladder, the ground and the house form a right-angled triangle, with the ladder as the hypotenuse. The trigonometric ratios can therefore be used to find its length.
Sketch
cos(30^o) =7/L where L is the length of the ladder.
L=7/cos(30^o) ~~7/0.866 ~~8.08

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