2 verticle poles on either side of a road a 30 m long ladder is placed between the two poles, when the ladder rest against one pole it makes angle 30° with the pole and when it turned to rest against another pole it makes 30°with the road calculate the width of the road
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A 30 m long ladder is placed between the two poles. Two vertical poles are on either side of a road. When the ladder rests against one pole, it makes angle 32o24′ with the pole and when it is turned to rest against another pole, it makes angle 32o24′ with the road.
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Answer :-
let AB the ladder and angle ABP = 32° 24
⇢ BP/AB = sin 32°24
⇢ BP = 30 × 0.536 = 16.08
when rotated let the ladder be AC and angle CAQ = 32°24
⇢ BQ/BC = cos 32°24
⇢ BQ = 30 × 0.844 = 25.32
• hence width of the road
⇢ (16.08+25.32)
⇢ 41.4m
so therefore our required answer is 41.4m
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