Angle of elevation

The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30°. If the angle of elevation at the same point is to be 45°, then the pillar has to be raised to a height of how many meters?

Correct answer:

y =  63.4 m

Step-by-step explanation:

x=150 m α=30  β=45   tan α = h : x  h=x tanα=x tan30° =150 tan30° =150 0.57735=86.60254 m  tan β = (h+y) : x  x tan β = h+y  y=x tanβh=x tan45° h=150 tan45° 86.6025=150 186.6025=63.4=63.4 m



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