Let distance between two cities = x
Let C₂ = distance from farther city from the sight at 30 degrees
Let C₁ = distance from nearer city from the sight at 45 degrees
Height from the ground to air balloon = 750 mDistance from below the balloon to the farther city (C₂):
tan 30⁰ =
C₂ = C₂ = 1,293 mDistance from below the balloon to nearer city (C₁):
tan 45 =
C₁ = C₁ = 750 m
Distance (x)between two cities:
x = C₂ - C₁
x = 1,293 m - 750 mx = 543 m
ANSWER: The distance between two cities are 543 meters.
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