Garage

There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage and both laths cross 70 cm above the garage floor. How wide is the garage?

Correct result:

x =  1.743 m

Solution:

32x2/x=0.7/b 22x2/x=0.7/a a+b=x a=1.243151.2432 b=0.4995670.4996 x=a+b=1.2432+0.4996=1.743 m\sqrt{ 3^2-x^2 }/x=0.7/b \ \\ \sqrt{ 2^2-x^2 }/x=0.7/a \ \\ a+b=x \ \\ a=1.24315 \doteq 1.2432 \ \\ b=0.499567 \doteq 0.4996 \ \\ x=a+b=1.2432+0.4996=1.743 \ \text{m}



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