Double ladder

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?

Result

h =  8.318 m

Solution:

a=3.5/2=74=1.75 m l=8.5 m  h=l2a2=8.521.7528.31798.318 ma=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 } \doteq 8.3179 \doteq 8.318 \ \text{m}



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