a man 1. 8m high stands at a distance of 3.6m from a lamp post and casts a shadow of 5.4m on the ground . find the height of the lamp post. chapter height and distance
sumit226:
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the answer is 20cm metr
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Let AB be the tower of height h metres.
Suppose CD be the height of the girl and DE be the length of shadow of the girlGiven, CD=1.8m, AD=3.6 and DE=5.4m.In △CDE tan E=CD/DE tan E=1.8/5.4=1/3In△ABE,tan E=AB/BE
1/3=h/(3.6+5.4)
1/3=9/h=3Thus, the height of the lamp post is 3m
Suppose CD be the height of the girl and DE be the length of shadow of the girlGiven, CD=1.8m, AD=3.6 and DE=5.4m.In △CDE tan E=CD/DE tan E=1.8/5.4=1/3In△ABE,tan E=AB/BE
1/3=h/(3.6+5.4)
1/3=9/h=3Thus, the height of the lamp post is 3m
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