Question

a statue of height 6meters stands on the top of a pedestal from a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point, the angle of elevation of the pedestal ofis 30°. find the height of the pedestal​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

let the height of the pedestal be h metre

and the distance of the pedestal from the point on the ground be x

tan 30°=h/x=1/√3

= x=√3h .....i

tan 60°=6+h/x=√3

= x√3=6+h

=√3(√3h)= 6+h (from eq i)

= 3h = 6+h

=3h-h= 6

=2h =6

=h=6/2=3

hence height of the pedestal is 3m