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.
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.
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.
7. From a point 20 m away on a level ground, the angle of elevation to the bottom of a
the top of the window is 32°. Calculate the
window is 27° and the angle of elevatim
height of the window.
(3 marks)
32
SOUCAHTOA
Rom
Coso-Adj
opponite
1270
H
X
Hyp
Tant=OPP
Adj
20 #
Zom
Adjacent
CoS2E 20 XHX Tanz 20
20
K
-0.0445503261 -1.764201788
0-044550326 60044550320
(1 mark) 3960
8. All odd numbers from 1 to 10 are arranged in descending order to form a number.
(i) Write the number.
35798.
97531
31
(ii) Write the total value of the second digit of the number formed in (a) (i)
FA 7X1000-7000
이
(1 mark)
9. A cylinder has a diameter of 28 cm and the height is 18 cm. Calculate its volume.
2
22 × 14 × 14 × 18
-110880m
3
(3 marks)
10. The figure below shows a right pyramid with AB = 3 cm, BC = 5 cm, and AV
VC = VD = 4 cm. Draw its net.
V
3+
12
7/18
(2/20
2105
SSS
20
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