ruthannpearce2021
ruthannpearce2021 ruthannpearce2021
  • 01-07-2019
  • Mathematics
contestada

What is the angle of elevation of the sun if a 45 foot tall flagpole casts a 22 foot long shadow?

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altavistard
altavistard altavistard
  • 01-07-2019

Answer:

the angle Ф is 63.9 degrees.

Step-by-step explanation:

A right triangle describes this situation.  The height of the triangle is 45 ft and the base is 22 ft.  The ratio height / base is the tangent of the angle of elevation and is tan Ф.  We want to find the angle Ф:

                opp

tan Ф = ---------- = 45 / 22 = 2.045.  

               adj

Using the inverse tangent function on a calculator, we find that the angle Ф is 63.9 degrees.

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