the horizontal distance between two towers from top of the shorter one is 30° . if the height of the taller tower is 150m .then find the height of the shorter tower
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AB is the taller tower = 150 m
Distance between two towers = CB = DE = 60 m.
Let height of the small tower = h m
In ΔADE,
tan 30 = ( 150 - h) / 60
1/ √3 = (150 - h) / 60
150 - h = 20√3
h = 150 + 20√3.
∴ Height of the smaller tower = 150 + 20√3.
Distance between two towers = CB = DE = 60 m.
Let height of the small tower = h m
In ΔADE,
tan 30 = ( 150 - h) / 60
1/ √3 = (150 - h) / 60
150 - h = 20√3
h = 150 + 20√3.
∴ Height of the smaller tower = 150 + 20√3.
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Anonymous:
thnx
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