if the height of a tower & the distance of the point of observation from its foot, both are increased by 15%. then the angle of elevation of its top remains unchanged. is it true? justify
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TanФ = BC
AC
BC*15
100
3BC
20
BC + 3BC
20
20BC + 3BC = 23BC --------------1
20 20
Similarly,
23AC
20
TanФ = 23BC
20
23AC
20
TanФ = BC
AC
Hence Justified.
AC
BC*15
100
3BC
20
BC + 3BC
20
20BC + 3BC = 23BC --------------1
20 20
Similarly,
23AC
20
TanФ = 23BC
20
23AC
20
TanФ = BC
AC
Hence Justified.
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