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A building is 40 meters tall. From a point 30 meters away from the base of the building, what is the angle of elevation to the top of the building?

Practice Questions

1 question
Q1
A building is 40 meters tall. From a point 30 meters away from the base of the building, what is the angle of elevation to the top of the building?
  1. 30 degrees
  2. 36.87 degrees
  3. 45 degrees
  4. 53.13 degrees

Questions & Step-by-step Solutions

1 item
Q
Q: A building is 40 meters tall. From a point 30 meters away from the base of the building, what is the angle of elevation to the top of the building?
Solution: Using tan(θ) = height/distance, we have tan(θ) = 40/30. Therefore, θ = tan⁻¹(4/3) ≈ 53.13 degrees.
Steps: 0

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