Trigonometry question

Asked by  | 31st Dec, 2009, 08:29: PM

Expert Answer:

Since each leg is inclined at an angle 75, and we know the height.

Hence sin 75 = Height of stool/Length of leg.

Length of leg = Height of stood / sin 75

= 1.5 m / 0.97 = 1.55 m

Since he has to put two steps at equal intervals, so the height i.e. 1.5 m is divided into 3 equal lengths.

1.5/3 = 0.5 m,

Similaly the length of the leg is also divided into 1.55/3 = 0.52 m

So the little part of the step, that extends beyond the 0.5 m of square side on both sides

= (0.522 - 0.52) = 0.14 m

Hence the length of the step = 0.5 m + 2x0.14 m = 0.78 m.

Similarly for the remaining step = 1.0 + 2 x (1.042 - 12) =  1.57 m

Regards,

Team,

TopperLearning.

 

Answered by  | 31st Dec, 2009, 09:58: PM

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