From a point on the ground, the angle of elevation to the top of a hill is 45 de

Practice Questions

Q1
From a point on the ground, the angle of elevation to the top of a hill is 45 degrees. If the point is 50 meters away from the base of the hill, what is the height of the hill?
  1. 50 meters
  2. 25 meters
  3. 70 meters
  4. 45 meters

Questions & Step-by-Step Solutions

From a point on the ground, the angle of elevation to the top of a hill is 45 degrees. If the point is 50 meters away from the base of the hill, what is the height of the hill?
  • Trigonometry – The problem involves using the tangent function to relate the angle of elevation to the height of the hill and the distance from the base.
  • Angle of Elevation – Understanding how the angle of elevation relates to the height and distance in a right triangle.
  • Right Triangle Properties – Applying properties of right triangles to solve for unknown lengths using trigonometric ratios.
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