On the level ground, the angle of elevation of the top of a tower is 30�.on moving 20 meters nearer, the angle of elevation is 45�.then the height of the tower is
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let the height of tower is h
tan30°=P/B=h/x
1/√3=h/x
x=√3×h ...(1)
tan 45°=P/B=h/x-20
1=h/x-20
x-20=h
x-h=20
from eq.(1)
(√3×h)-h=20
h(√3 -1)=20
h=20/√3-1
height of tower is 20/√3-1
tan30°=P/B=h/x
1/√3=h/x
x=√3×h ...(1)
tan 45°=P/B=h/x-20
1=h/x-20
x-20=h
x-h=20
from eq.(1)
(√3×h)-h=20
h(√3 -1)=20
h=20/√3-1
height of tower is 20/√3-1
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