Problema Solution
Pilot of a downed airplane fires the emergency flare into the sky. The path of the flare is modeled by the equation h= -0.096(d-25)^2+60, where h is the height of the flare in the meters when it's horizontal distance from where it was propelled is d meteres. An emergency helicopter equipped with special binocular's has a line of sight to the spot where the line of sight to the spot where the flare was launched. The line of sight from the binocular is modeled by the equation 9x-10y=-14. Solve the system.
Answer provided by our tutors
there are four variables: d, h, x and y
there are two equations
the system is not solvable and the wording is awkward with typos... I'm guessing that "has a line of sight to the spot where the line of sight to the spot where the" should be "has a line of sight to the spot where the"
clearly the flare takes a parabolic arc modelled by "h= -0.096(d-25)^2+60" and the binoculars define a straight line modelled by "9x-10y=-14"
the solution to the system is going to be the point of intersection of the binoculars with the arc of the flare