# math

Calculate the length of a collar tie for the following conditions: The collar tie is 3′ above the top plate, the unit rise of a common rafter in the roof is 10′, and the span of the building is 20′.

A. 16′43/4″
***B. 12′ 91/2″
C. 14′
D. 17′

I got the answer B, would you agree?

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1. half the width drawing:
rafter 10 ft wide,
tie is 3 ft up
so for half the tie
(10-3)/x = 10/10 = 1
x = 7
2x = length of tie = 14
I wonder why the tie is only 3 feet above the rafters though.

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