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An aeroplane, when 3000 m high, passes vertically above another aeroplane at an instant when their angles of elevation at the same observation point are 60` and 45` respectively. How many meters higher is one from the other?
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An aeroplane, when 3000 m high, passes vertically above another aeropl...
Tan60= AC/BC
√3=3000/b
b√3=3000
b=3000/√3
b=1000√3
BC=1000√3

Now tan45deg=DC/BC
1=h/1000√3
h=1000√3

x=AC-DC
x=3000-1000√3
x=1000√3(√3-1)
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An aeroplane, when 3000 m high, passes vertically above another aeroplane at an instant when their angles of elevation at the same observation point are 60` and 45` respectively. How many meters higher is one from the other?
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