kingofmortals2485 kingofmortals2485
  • 20-05-2018
  • Mathematics
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How tall is a building that casts a 71​-ft shadow when the angle of elevation of the sun is 29 degrees​?

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cdw2014
cdw2014 cdw2014
  • 20-05-2018
We can use trigonometry to solve the problem. First draw a picture of the situation to understand what is going on (See the attached photo).

Next, we can use the tangent  function to solve for the height of the building:

[tex]tan(29^{\circ})= \frac{h}{71} [/tex]

Next, rearrange the problem to solve for h:

[tex]h = 71tan(29^{\circ})[/tex]

h = 39.356 ft
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