SOLUTION: When a drawbridge is open, the bridge forms a right angle with the doorway it leads to. A straight chain connects the far end of the bridge to the top of the doorway. If the doorwa

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Question 1137072: When a drawbridge is open, the bridge forms a right angle with the doorway it leads to. A straight chain connects the far end of the bridge to the top of the doorway. If the doorway is 2 meters high and the chain is 2.5 meters long, find the length of the bridge, rounded to the nearest tenth.
Answer by ankor@dixie-net.com(22740) (Show Source):
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When a drawbridge is open, the bridge forms a right angle with the doorway it leads to.
A straight chain connects the far end of the bridge to the top of the doorway.
If the doorway is 2 meters high and the chain is 2.5 meters long, find the length of the bridge, rounded to the nearest tenth.
:
use the Pythagorean Theorem a^2 + b^2 = c^2, where
a = 2m the height of the door
b = the length of the bridge
c = 2.5m the length of the chain (hypotenuse)
:
2^2 + b^2 = 2.5^2
4 + b^2 = 6.25
b^2 = 6.25 - 4
b^2 = 2.25
b =
b = 1.5 meters is the length of the bridge