Marrero is in a hot-air balloon that is 600 feet above the ground, where he can see two people.
1 answer:
Answer: The distance from the person on the ground to the bottom of the hotair balloon is 1,649 ft
Step-by-step explanation: Please refer to the attached diagram
From the diagram, the hotair balloon is labelled B. If Marero looks down and forms an angle of depression of 20°, that means he is forming an angle of 70° to point C where one of the two persons are standing. Point B is an angle of 70° (point A cuts point B at a perpendicular, that is, 90°)
With these we can now use the trigonometrical ratio of tangent to calculate the distance marked x on the diagram.
Tan B = opposite/adjacent
Tan 70 = x/600
When we cross multiply, we now have
Tan 70 × 600 = x
2.7475 × 600 = x
1648.5 = x
Rounded to the nearest feet
x = 1,649 feet
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