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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
Mathematics For Machine Technology
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