The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach?

Correct result:

h =  8.318 m

Solution:

$a=3.5 / 2=\dfrac{ 7 }{ 4 }=1.75 \ \text{m} \ \\ l=8.5 \ \text{m} \ \\ \ \\ h=\sqrt{ l^2 - a^2 }=\sqrt{ 8.5^2 - 1.75^2 }=8.318 \ \text{m}$

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