SSC CGL 2020 PYQ — Question 33

The correct answer is option 3 i.e. 5(√3 + 1)m

In $\triangle$ABD,

Tan45 = AB/BD

AB = BD 

h = x...........(1)

In $\triangle$ABC,

Tan30 = AB/BC

1/$\sqrt{3}$ = h/(x + 10)

$\sqrt{3}$h = h + 10

h = 10/($\sqrt{3}$ - 1)

h = 5($\sqrt{3}$ + 1).