Question

Q15. The angle of elevation of the top of a pillar from
a point on the ground is 15° on walking 100 m
towards the tower, the angle of elevation is
found to be 30°. Calculate the height of the tower
(where tan 15° = 2 - √3). ​

Answer 1

Answer:

Step-by-step explanation:

See the attachment for diagram

tan 15 = H / (x + 100) = 2 - √3

tan 30 = H / (x) = 1/√3

Solve the equation for answer

Answer 2

Answer:

Step-by-step explanation:

So first of all in the right hand side triangle i.e

Tan 30°= h/x

1/root 3= h/x

Therefore x=root3 h......eq 1

Now in left triangle i.e 15°

Tan 15° = h /AC

AC = AB + BC

AC =100+x

Therefore

Tan15° = h/ 100+x

Tan15°= 2-root3 (given)

2-root3 = h/100+x

2-root3= h/100+h root3

On cross multiplying

h=100/2

h= 50m