A player in a video game must knock out a target located 84 pixels above and 156 pixels to the left of his position. Choose a polar coordinate system with the player at the pole and the polar axis extending to the player’s right. Find the polar coordinates of the target (this determines the distance and angle at which the player should fire his gun). Find r to the nearest pixel and θ in degree measure to the nearest tenth of a degree.
A player in a video game must knock out a target located 84 pixels above and 156 pixels to the left of his position. Choose a polar coordinate system with the player at the pole and the polar axis extending to the player’s right. Find the polar coordinates of the target (this determines the distance and angle at which the player should fire his gun). Find r to the nearest pixel and θ in degree measure to the nearest tenth of a degree.
Solution Summary: The author explains how to calculate the polar coordinates of the target in a video game.
A player in a video game must knock out a target located
84
pixels above and
156
pixels to the left of his position. Choose a polar coordinate system with the player at the pole and the polar axis extending to the player’s right. Find the polar coordinates of the target (this determines the distance and angle at which the player should fire his gun). Find
r
to the nearest pixel and
θ
in degree measure to the nearest tenth of a degree.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
The center of a windmill is 20 feet off the ground and the blades are 10 feet long.
Fill out the table showing the vertical position of P after the windmill has rotated through the given angle.
Identify which quadrants in the polar coordinate system the following points lie.
1. (5,9π/7)
2. (-5, 6π/7)
3. (-5,3π/7)
4. (5,-4π/7)
Convert each pair of polar coordinates to rectangular coordinates
1. (2,150)
2. (4, 7 pie/ 4)
Thomas' Calculus: Early Transcendentals (14th Edition)
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Polar Coordinates Basic Introduction, Conversion to Rectangular, How to Plot Points, Negative R Valu; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=aSdaT62ndYE;License: Standard YouTube License, CC-BY