
Concept explainers
(a)
The point in the grid system (2, 50°)
(a)

Answer to Problem 6E
The point in the grid system is (1.28, 1.52)
Explanation of Solution
Given information:
A point is given in the distance-
Calculation:
Consider the statement below and answer questions a, b, c and d
A point that is mainly given in the distance angle system as,
Consider the associated figure;
The point (2, 50°) implies angle with x-axis is 50° and length of the point from origin is 2. For calculating the point in the grid system, draw the triangle as shown in the figure and measure the triangle. Therefore, the point in the grid system is (1.28, 1.52)
Hence, the answer is (1.28, 1.52)
Conclusion:
The point in the grid system is (1.28, 1.52)
(b)
The point in the grid system (1.5, 70°)
(b)

Answer to Problem 6E
The point in the grid system is (0.51, l.41)
Explanation of Solution
Given information:
A point is given in the distance-angle system. It is mentioned in the grid system. Use a protractor and a centimetre ruler to draw the triangle suggested by the angle and distance.
Formula used:
The point (1.5, 70°) implies angle with x-axis is 70° and length of the point from origin is 1.5
Calculation:
A point that is mainly given in the distance angle system as,
Consider the associated figure,
The point (1.5, 70°) implies angle with x-axis is 70° and length of the point from origin is 1.5. For calculating the point in the grid system, draw the triangle as shown in the figure and measure the triangle. Therefore, the point in the grid system is (0.51, l.41)
Hence, the answer is (0.51, l.41)
Conclusion:
The point in the grid system is (0.51, l.41)
(c)
The point in the grid system (3, 90°)
(c)

Answer to Problem 6E
The point in the grid system is (0, 3)
Explanation of Solution
Given information:
A point is given in the distance-angle system. It is mentioned in the grid system. Use a protractor and a centimetre ruler to draw the triangle suggested by the angle and distance.
Formula used:
The point (3, 90°) implies angle with x-axis is 90° and length of the point from origin is 3
Calculation:
A point that is mainly given in the distance angle system as,
Consider the associated figure,
The point (3, 90°) implies angle with x-axis is 90° and length of the point from origin is 3. The line which is 90° to the x-axis is the y-axis. Therefore, the point in the grid system is (0, 3)
Hence, the answer is (0,3)
Conclusion:
The point in the grid system is (0,3)
(d)
The point in the grid system (1, 120°)
(d)

Answer to Problem 6E
The point in the grid system is (-0.5, 0.86)
Explanation of Solution
Given information:
A point is given in the distance-angle system. It is mentioned in the grid system. Use a protractor and a centimetre ruler to draw the triangle suggested by the angle and distance.
Formula used:
The point (1, 120°) implies angle with x-axis is 120° and length of the point from origin is 1
Calculation:
A point that is mainly given in the distance angle system as,
Consider the associated figure,
The point (1, 120°) implies angle with x-axis is 120° and length of the point from origin is 1. For calculating the point in the grid system, draw the triangle as shown in the figure and measure the triangle. For calculating the lengths of the sides of the triangle calculate the angle of the triangle as 180°- 120° = 60°. Therefore, the point in the grid system is (-0.5, 0.86)
Hence, the answer is (-0.5, 0.86)
Conclusion:
The point in the grid system is (-0.5, 0.86)
Chapter 1 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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