SOLUTION: The Pyramid of the Sun in Teotihuacan, Mexico, measures about 700 feet on each side of its square base and is about 210 feet high. Estimate the slope that one of its faces makes wi

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The Pyramid of the Sun in Teotihuacan, Mexico, measures about 700 feet on each side of its square base and is about 210 feet high. Estimate the slope that one of its faces makes wi      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1203116: The Pyramid of the Sun in Teotihuacan, Mexico, measures about 700 feet on each side of its square base and is about 210 feet high. Estimate the slope that one of its faces makes with the base.

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.

Consider the height of the pyramid and relate it to half of the base length.


This ratio is the tangent of the slope angle

    tan(a) = H%2F%28%28B%2F2%29%29 = 210%2F%28%28700%2F2%29%29 = 210%2F350 = 3%2F5 = 0.6.


Hence, the slope angle is  a = arctan(0.6) = 30.96 degrees,  or about 31 degrees.

Solved, with explanation.