Q:

Consider the diagram shown where the sun is 20° above the horizon. How long is the shadow cast by a building 150 ft tall? (to the nearest ft)

Accepted Solution

A:
First draw a right triangle

       The building is the vertical leg and the shadow is the horizontal leg

   the hypotenuse makes a 20 degree angle with the top of the building

   call the shadow "x"

       tan=opposite/ adjacent

   tan(20Âş)=150/x

   x=150/tan(20Âş)

   x=150/0.36397

   x=412.121

       Therefore the answer is 412 Feet