Question

6. What will be the change in the height of the tower, if the angle of elevation become twice of the
original.​

Answer 1

Answer:

If the height of the tower is doubled, then the angle of elevation of its top will also be doubled. Case II By condition, the height of the tower is doubled, i.e., PR=2h. Hence, the requried angle is not doubled.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

let h be the height of tower and x is the distance of tower from observer. anle of elevation be A

then

TanA = h/x

or, h = xTanA

now angle of elevation is doubled i.e. from A to 2A

let height be h'

Tan2A = h'/x

or, h' = xTan2A

Now,

h'/h = xTan2A/xTanA

= Tan2A/TanA

= 2TanA/(1-Tan^2A)*TanA

= 2/(1 - Tan^2A)

1-tan^2A < 1 for 0<A<90

hence h' > 2h

thus, if angle of elevation is doubled, the height will increase more than twice.