The shadow of a tower becomes 60 metres longer when the altitude of the sun changes from 60°to 45°. Find the height of tower. (You may use √3= 1.732)
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Answer:
h=height
In△ABC
tan45∘=ABBC
11=ABBC=AB:BC=1:1.....(i)
In△ABD
tan30∘=ABBD
13–√=ABBD⇒AB:BD=1:3–√.....(ii)
Now,
CD=BD−BC
CD=3–√−1
3–√−1 units=60
H=1 unit=603–√−1
=603–√−1×3–√+13–√+1
h⇒30(3–√+1)m
Step-by-step explanation:
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