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From the top of a 120 meter high building, the angle of depression of a car is 30 degrees. How far is the car from the foot of the building ?​

Sagot :

Answer:

The car is approximately 208 meters from the foot of the building.

Step-by-step explanation:

Given:

  • Height of building: 120 meters
  • Angle of depression: 30°
  • Distance between the car and the foot of the building:  x

Tan θ = opposite/adjacent  

  • Opposite:  height of the building
  • Adjacent: distance x

Solve for x:

tan 30° = (120 meters)/x

x = (120 meters)/(tan 30°)

x = (120 meters)/(0.577)

x = 207.97

x ≈ 208 meters

Please see attached image for illustration.

View image Аноним