a road is flanked on either side by a continous row of houses of height 4√3 with no space in between them. a pedestrian is standing on the medium of the road facing a row house.the angle of elevation from the pedestrian to the top of the house is 30degree.find the width of the road
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AB = opposite side, BC = Adjacent side, AC = hypotenuse side
tan θ = Opposite side / Adjacent side
tan 30 = AB/BC
1/√3 = 4√3/Distance from median of the road to house
BC = 4√3(√3) = 12
Required distance = 2 BC = 2 (12) 24 m
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Answer is 24 m.
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