Question

The angle of elevation of a tower from a point on the ground is

30o

. If we move 20m towards the tower, the angle of elevation

from this point is 60o

. Find the height of the tower.
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Answer 1

Answer:

If the observer moves 20m towards the tower, the angle of elevation of the top increases by 15°. Find the height of the ...

Answer 2

Step-by-step explanation:

Let height of the tower be h and distance from tower where angle is 60°be x

Then the point from where 30°is made will be 20+x

Now Tan30°=h/(20+x) and Tan60°=h/x

1/root 3=h/(20+x) and root3=h/x

(20+x)/root3=h.and root3 x=h both equation lhs are same so rha should also be same

(20+x)/root3 =root3x

3x=20+x

2x=20

X=10

H =root3 x

=root3×10

=10 root3