cesarlalomartinez cesarlalomartinez
  • 09-04-2019
  • Mathematics
contestada

You are standing 50 meters from a hot air balloon that is preparing to take off. The angle of the elevation to the top of the balloon is 28. Find the height of the balloon

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smmwaite
smmwaite smmwaite
  • 09-04-2019

Answer:

26.6 m

Step-by-step explanation:

The bottom of the balloon, its top and the your position(where you are standing make the 3 vertices of a right angled triangle.

o we are going to your the trigonometric ratios to find the height of the balloon.

Tangent θ = opposite/Adjacent

opposite is the height, h

adjacent is the horizontal distance = 50 m

Angle θ = 28

∴tan 28° = h/50

h = 50 × tan 28

  = 50 × 0.5317

  = 26.6 m

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