
Concept explainers
(a)
The value of angle E and angle F in the given figure.

Answer to Problem 27A
The angle E and angle F are equal to
Explanation of Solution
Given information:
The given value angle 1 is
The given value angle 2 is
Given figure is
Calculation:
The point P on the circle is the tangent point. Thus, the straight-line EF becomes tangent to the circle. The line joining center and the tangent point is perpendicular to the tangent. In other words, the angle EPO or the angle OPF is 90o.
In triangle OPE,
The value of angle E is
Now, let us calculate the value of angle F. The value of angle F can be calculated by considering triangle OPF.
Now, the angle
The value of angle F is
Now, the angle E and angle F are equal to
Conclusion:
Thus, the angle E and angle F are equal to
(b)
The value of angle E and angle F in the given figure.

Answer to Problem 27A
The angle E and angle F are equal to
Explanation of Solution
Given information:
The given value angle 1 is
The given value angle 2 is
Given figure is
Calculation:
The point P on the circle is the tangent point. Thus, the straight-line EF becomes tangent to the circle. The line joining center and the tangent point is perpendicular to the tangent. In other words, the angle EPO or the angle OPF is 90o.
In triangle OPE,
The value of angle E is
Now, let us calculate the value of angle F. The value of angle F can be calculated by considering triangle OPF.
Now, the angle
The value of angle F is
Now, the angle E and angle F are equal to
Conclusion:
Thus, the angle E and angle F are equal to
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Chapter 55 Solutions
Mathematics For Machine Technology
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