Answers

  • Brainly User
2016-01-03T22:29:55+08:00
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 m

Distance from below the balloon to the farther city (C₂):

tan 30⁰ =  \frac{750}{C _{2} }

C₂ =  \frac{750}{tan30}

C₂ =  \frac{750}{0.58}

C₂ = 1,293 m

Distance from below the balloon to nearer city (C₁):

tan 45 =  \frac{750}{C _{1} }

C₁ =  \frac{750}{tan45}

C₁ =  \frac{750}{1}

C₁ = 750 m

Distance  (x)between two cities:

x  =  C₂ - C₁ 

x = 1,293 m - 750 m

x = 543 m

ANSWER:  The distance between two cities are 543 meters.

Please click image below for my solution with illustration.
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