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Trigonometry Word Problem

The distance from a pebble to the base of a vertical cliff is 43m. The angle between the pebble and the top of the cliff is about 57 degrees. What is the height of the Cliff?
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1 Answer

The distance from a pebble to the base of a vertical cliff is 43m. The angle between the pebble and the top of the cliff is about 57 degrees. What is the height of the Cliff?
 
               /|
            /   |
         /      |
      /         |  h = cliff
  / 57o      |
 *----------
      43 m
 
tanθ = opposite/adjacent
 
tan(57o) = h/43
 
Solve for h