We can set up a proportion using the similar triangles formed by the ladders and the wall:
(height of unknown right angle) / 14 = 4 / 5
Cross-multiplying, we get:
(height of unknown right angle) = 56 / 5
So the height up the wall that the ladder goes is approximately 11.2 feet.
The ladders shown below are standing against the wall at the same angle. How high up the wall does the go?
Use a proportion to find the missing side length in the following similar figures.
Ladder 1 is 14 feet tall, and the space between it and the wall makes up a right angle the height of this right angle is unknown. Ladder 2 is 5 feet tall and the space between it and the wall makes up a 4-foot tall right angle.
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1 answer