Sound Location Listening station A and listening station B are located at 3300 , 0 and ā 3300 , 0 , respectively. Station A detects an explosion 4 seconds before station B. (Assume the coordinate system is measured in feet and sound travels at 1100 feet per second.) (a) Where did the explosion occur? (b) Station C is located at 3300 , 1100 and detects the explosion 1 second after station A. Find the coordinates of the explosion.
Sound Location Listening station A and listening station B are located at 3300 , 0 and ā 3300 , 0 , respectively. Station A detects an explosion 4 seconds before station B. (Assume the coordinate system is measured in feet and sound travels at 1100 feet per second.) (a) Where did the explosion occur? (b) Station C is located at 3300 , 1100 and detects the explosion 1 second after station A. Find the coordinates of the explosion.
Solution Summary: The author calculates the distance between the place where explosion occurs and A.
Sound Location Listening station A and listening station B are located at
3300
,
0
and
−
3300
,
0
, respectively. Station A detects an explosion 4 seconds before station B. (Assume the coordinate system is measured in feet and sound travels at 1100 feet per second.)
(a) Where did the explosion occur?
(b) Station C is located at
3300
,
1100
and detects the explosion 1 second after station A. Find the coordinates of the explosion.
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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.