SOLUTION: A 6-foot-tall person standing at a distance of 27 ft from a water tower must look up at an angle of 46° to see the top of the water tower. To the nearest foot, find the height of t

Algebra ->  Formulas -> SOLUTION: A 6-foot-tall person standing at a distance of 27 ft from a water tower must look up at an angle of 46° to see the top of the water tower. To the nearest foot, find the height of t      Log On


   



Question 429519: A 6-foot-tall person standing at a distance of 27 ft from a water tower must look up at an angle of 46° to see the top of the water tower. To the nearest foot, find the height of the water tower.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Let h = the distance from the person's head to the top of the water tower
The sight angle is 46 deg, and the horizontal distance from the person to the tower is 27 ft.
Therefore h+=+27%2Atan%28theta%29
So h = 27*1.0355 = 28 feet (to the nearest foot)
So the height of the water tower from the ground is 6 ft + 28 ft = 34 ft.