Question

The angle of elevation of the top of a flagpole from a point on the level ground is 30degrees. From another point on the ground 20m, nearer the pole the angle of elevation is 60degrees. Calculate the height of the pole?

Answer 1

1) y2+6y+9-4y2 its standard form.
its degree.
2) expand using identity (5b-1/2)2(square)
3) find the product of 3/2xyz(4/9x2(square)y2-2xy)

Answer 2

if the nearer point is at distance x from a pole of height h,

h/x = tan 60°
h/(x+20) = tan 30°

substituting the first into the second,

h = (h/tan60° + 20)tan30°
h = (h/√3 + 20)(1/√3)
h = 10(3+√3) = 47.32m