Question

An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.

A: x+y=100
y=3x

B: x^2 + y^2 = 100^2
y= 3x

C: x+y=100
x=3y

D: x^2 + y^2 = 100^2
x=3y

Answer 1

B) x² + y² = 100²

y = 3x

Explanation:

The pythagorean theorem : a² + b² = c²

c² in this case is 100, and a and b are x and y

The . vertical distance is three times the horizontal, or y = 3x

The correct option is x² + y² = 100², where y = 3x

-Chetan K