If the ratio of the height of a tower and the length of its shadow is 3: 1, what is the angle of elevation of the Sun
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Step-by-step explanation:
Let the height of tower.AB=hm
The length of shadow BC=xm
According to given question,
BC
AB
=
1
3
x
h
=
1
3
We know that,
In ΔABC,
BC
AB
=tanθ
tanθ=
x
h
tanθ=
1
3
tanθ=
3
tanθ=tan60
o
θ=60
o
Hence, the angle of elevation is 60
o
.
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