Jared flies a drone in a circular path around an object that is 250 feet north and 240 teet The drone's path takes it over a point that is 150 feet south and 190 feet east of him. Find an equation for the drone's path. (Assume Jared is located at the origin, with the horizontal axis running east-west and the vertical axis running north-south) The drone's path follows the equation When the drone passes due south of Jared's position, it will be feet south of him (round your answer to three decimal places).

Jared flies a drone in a circular path around an object that is 250 feet north and 240 teet The drone's path takes it over a point that is 150 feet south and 190 feet east of him. Find an equation for the drone's path. (Assume Jared is located at the origin, with the horizontal axis running east-west and the vertical axis running north-south) The drone's path follows the equation When the drone passes due south of Jared's position, it will be feet south of him (round your answer to three decimal places).

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.5: Rotation Of Conics

Problem 63E

See similar textbooks

Similar questions

The filament of a light bulb is a thin wire that glows when electricity passes through it. The filament of a car headlight is at the focus of a parabolic reflector, which sends light out in a straight beam. Given that the filament is 1.5 inches from the vertex, find an equation for the cross section of the reflector. The reflector is 7 inches wide. How deep is it? The filament of a light bulb is a thin wire that glows when electricity passes through it. The filament of a car headlight is at the focus of a parabolic reflector, which sends light out in a straight beam. Given that the filament is 1.5 inches from the vertex, find an equation for the cross section of the reflector. The reflector is 7 inches wide. How deep is it?
Astronomy Some comets have a hyperbolic orbit, with the sun as one focus. When the comet shown in the illustration is far away from Earth, it appears to be approaching Earth along the line y=2x . Find the equation in standard form of its orbit if the comet comes within 100 million miles of Earth.
Rotate the axes to eliminate the xy -term in the equation x2+xy+y2+2x3y30=0. Then write the equation in standard form. Sketch the graph of the resulting equation, showing both sets of axes.
Navigation The LORAN LOng RAnge Navigation system in the illustration uses two radio transmitters 26 miles apart to send simultaneous signals. The navigator on a ship at P(x,y) receives the closer signal rst and determines that the difference of the distances between the ship and each transmitter is 24 miles. That places the ship on a certain curve. Identify the curve and nd an equation in standard form.
Projectiles The cannonball in the illustration follows the parabolic trajectory y=30xx2. How far short of the castle does it land?
Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where h=100t16t2. Suspension bridges The cable of a suspension bridge is in the shape of the parabola x22500y+25,000=0 in the coordinate system shown in the illustration. Distances are in feet. How far above the roadway is the cables lowest point?
Meshing gear For design purpose, the large gear is described by the circle x2+y2=16. The smaller gear is a circle centered at (7,0) and tangent to the large circle. Find an equation in standard form of the smaller gear.
Path of a guided missile A guided missile is propelled from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation y=400x16x2. Find the objects maximum height.