# Question #3afe4

Sep 19, 2015

the minimum length of ladder is 5.406m

#### Explanation:

answer is very simple . the length of the ladder which is to be caluclated must be minimum .

so the length of the ladder = 3*cosec (x)+sec(x)
applying derrivation on both sides gives the minimum length of ladder required

0= -3cosec(x)cot(x)+sec(x)tan(x)
that implies
${\tan}^{3} \left(x\right) = 3$
x=55.7 degrees

the minimumlength of the ladder is 3cosec(55.7)+sec(55.7) (in degrees)
the minimum length of the ladder is 5.406m