Question

there is some fire incident in a house. the fireman is trying to enter the house from the window as the main door is locked. the window is 6 m above the ground. he places a ladder against the wall such that the foot of the ladder is inclined at an angle of 60 degree to the horizontal and its top reaches the window.
find the length of the ladder.
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Answer 1

window is 6 metre above from the ground so here perpendicular distance will be 6m..

so sin 60 degree= P/H

the value of sin 60

$\sqrt{3 \div 2 }$

root 3/2 = 6/h

then croos multiply

root 3h = 6× 2

root 3h = 12

tgen h = 12/ root 3

we know that the value doesnt exist in denominator in the form of root so we need to rationalise this

hhypotenuse = 12/ root 3× root 3/root 3

then h = 12 root 3÷ 3

12 will cross by 3 at 4 times

then ans will be 4root 3

so the length of the ladder will be 4 root 3..

i hope this will be clear to alll