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