Concept explainers
Solve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute.
a. If
(1) ∠EFD
(2)
(3) ∠1
b. If
(1) ∠EFD
(2)
(3) ∠1
(a)
The value of
Answer to Problem 20A
The value of
Explanation of Solution
Given information:
The given figure is
Calculation:
The angle drawn at the point of tangent between the tangent and the chord is equal to half the value of intercepted arc.
The angle EFD, is the angle between the tangent DF and the chord EF, thus, the value of angle EFD will be equal to
The line DFP is the straight line, the angle at the straight line is 180o. The value of angle FHP is to be calculated for calculating the value of arc HF.
The angle drawn at the point of tangent between the tangent and the chord is equal to half the value of intercepted arc. So,
To calculate the value of angle 1, let us first calculate the value of arc FEH.
Similarly, for angle 1, the angle drawn at the point of tangent between the tangent and the chord is equal to half the value of intercepted arc.
Conclusion:
Thus, the value of
(b)
The value of
Answer to Problem 20A
The value of
Explanation of Solution
Given information:
The given figure is
Calculation:
The angle drawn at the point of tangent between the tangent and the chord is equal to half the value of intercepted arc.
The angle EFD, is the angle between the tangent DF and the chord EF, thus, the value of angle EFD will be equal to
The line DFP is the straight line, the angle at the straight line is 180o. The value of angle FHP is to be calculated for calculating the value of arc HF.
The angle drawn at the point of tangent between the tangent and the chord is equal to half the value of intercepted arc. So,
To calculate the value of angle 1, let us first calculate the value of arc FEH.
Similarly, for angle 1, the angle drawn at the point of tangent between the tangent and the chord is equal to half the value of intercepted arc.
Conclusion:
Thus, the value of
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Chapter 56 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
- Solve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If1 = 63, find (1) HK (2)HM b. If1 = 59.47, find (1) DC (1) HK (2)HMarrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If Dia A = 3.756" and Dia B = 1.622", find x. b. If x = 0.975" and Dia B = 1.026", find Dia A.arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If 1 = 6700' and 2 =9300', find: (1) AB (2) DE b.If 1 = 7500' and 2 =8500', find: (1) AB (2) DEarrow_forward
- Solve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If AB=116, find (1) 1 (2) 2 a. If AB=11256, find (1) 1 (2) 2arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If 1 = 76.00, find (1) DC (2)EOD (3) AC b. If 1 = 63.76, find (1) DC (2)EOD (3) BDarrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If 3 = 47, find GH = 32, find (1) EF (2) 4 b. If 4 = 1753', find EF = 103, find (1) 3 (2) GHarrow_forward
- Solve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. Three holes are to be located on the layout shown. The 72.40-mm diameter and 30.80-mm diameter holes are tangent at point T, and TA is the common tangent line between the two holes. Determine (a) dimension C and (b) dimension D.arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. Determine the length of x forGage A and Gage B. All dimensions are in inches. a. Gage A:y = 0.350", find x. b. Gage B:y = 0.410", find x.arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. Three posts are mounted on the fixture shown. Each post is tangent tothe arc made by the 0.650-inch radius. Determine (a) dimension A and(b) dimension B. Note: The fixture is symmetrical (identical) on each side of the horizontalcenterline ( CL ). All dimensions are in inches.arrow_forward
- Solve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If 1 = 25, find MPT= 95, find (1) KTP (2) PT (3) MP b. If 1 = 1730', find MPT= 103, find (1) KTP (2) PT (3) MParrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. Points A, B, C, D, and E are tangent points. a. If AB=46.00 and DE=66.00 , find 1. b. If AB=53.00 and DE=70.00 , find 1.arrow_forwardSolve the following exercises based on Principles 11-14, although an exercise may require the application of two or more of any of the principles. Round the answers to 3 decimal places where necessary unless otherwise stated. a. If EF=160 mm, find HP . b If HP=160 mm, find EF . Round the answer to the nearest whole millimeter.arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning