If a tree casts a shadow of 10 meters and the angle of elevation to the top of t

Practice Questions

Q1
If a tree casts a shadow of 10 meters and the angle of elevation to the top of the tree is 45 degrees, what is the height of the tree?
  1. 5
  2. 10
  3. 15
  4. 20

Questions & Step-by-Step Solutions

If a tree casts a shadow of 10 meters and the angle of elevation to the top of the tree is 45 degrees, what is the height of the tree?
  • Trigonometry – The problem involves using the tangent function to relate the height of the tree to the length of its shadow and the angle of elevation.
  • Angle of Elevation – Understanding that the angle of elevation is measured from the horizontal line up to the top of the tree.
  • Right Triangle Properties – The scenario can be visualized as a right triangle where the height of the tree is the opposite side, the shadow is the adjacent side, and the angle of elevation is given.
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