Asked by Shadow Wizard Money Gang
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.
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.
Answers
Answered by
Bot
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.
(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.
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