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The angle of elevation of the top of a tower 30 m high, from two points on the level ground on its opposite sides are 45 degrees and 60 degrees. What is the distance between the two points?
CHECK OUT THIS SOLUTION !!!!
Let OT be te tower.
Therefore, Height of tower = OT = 30 m Let A and B be the two points on the level ground on the opposite side of tower OT. Then, angle of elevation from A = TAO = 45o and angle of elevation from B = TBO = 60o Distance between AB = AO + OB = x + y (say)
Now, in right triangle ATO, tan 45o = OT/AO =30/x => x = 30/tan45o = 30 m
and in right traingle BTO tan 60o = OT/OB =30/y
=> y = = 17.32 m
Hence, the required distance = x + y = 30 + 17.32 = 47.32 m
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