Question

On the planet Quirk, a cell phone tower is a 100-foot pole on top of a green mound 1000 feet tall whose outline is described by the parabolic equation y = 1000 − x^2 . An ant climbs up the mound starting from ground level (y = 0). At what height y does the ant begin to see the tower?

Answer 1

calc btw, just wanna check my answer

Answer 2

Please demonstrate how you arrived at your answer.

Answer 3

Plot it on a coordinate plane, with x=0 and y=1000 as a point, the top of the radio tower is 1100 and 0, derivative of this parabola is -2x, So, the top of the tower is 0,1100. Let the point at which it is viewable be (x,y), then use (1100-(1000-x^2))/ (0-x) = -2x and solve for x

Answer 4

to then find y*

Answer 5

Does the solution look correct on your drawing? Nothing unbelievable?

Answer 6

im getting y as 900, which seems prty legit lol, im just worried about process