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You are standing on the second floor balcony looking down at a car 50 feet away. Your line of sight is 15 feet above the ground. What is the angle of depression to the nearest tenth of a degree?

You are standing on the second floor balcony looking down at a car 50 feet away Your line of sight is 15 feet above the ground What is the angle of depression t class=

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mhanifa

Answer:

  • 16.7°

Step-by-step explanation:

Let the angle is x

Imagine the right triangle with the angle x, with side opposite to angle x 15 ft and the adjacent side is 50 ft.

Use trigonometry:

  • tangent = opposite / adjacent
  • tan x = 15/50
  • tan x = 0.3
  • x = arctan 0.3
  • x = 16.7° (rounded)
MisterBrainly

Use tangent

  • tanØ=Perpendicular/Base
  • tanx=15/50
  • tanx=3/10
  • tanx=0.3
  • x=tan^{-1}(0.3)
  • x=16.7°

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