An engineer is 980 feet from the base of the fountain at fountain hills arizona the angle of elevation 2 top of the column of water is 29.7 degrees the surveyors angle measuring device is at the same level as the base of the fountain find the height of the column of water to the nearest ten feet

First I drew a right triangle with the fountain on the opposite side of the angle 29.7. The engineer is 980 feet from the fountain, so th e bottom part of the triangle will be 980 ft. long. I used tangent because you have the adjacent and angle given to you, and you need to find the opposite side length of the angle (SOH CAH TOA - TOA is used here). I put that info. into an equation.

I multiplied 980 on both sides to single out the opp. I then calculated the tangent of 29.7 with a calculator and multiplied it by 980. It came out to be 558.9821 ft. This rounded to the nearest ten feet is 560 feet.

Why do you have to ask such hard questions.