EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Question
Chapter 73, Problem 48AR
To determine
(a)
The length of side m.
Expert Solution
Answer to Problem 48AR
The length of side AC is m=8.484 inches
Explanation of Solution
Given information:
The given figure is
Calculation:
Let us consider the triangle ABC, the length of side AC of length m can be found from cosine law. In triangle ABC,
AC2=AB2+BC2−2×AB×BC×cosBAC2=14.4002+13.9002−2×14.4×13.9×cos34°50'AC2=207.36+193.21−324.589AC2=71.98AC=√71.98=mm=8.484
m=8.484 inches
Conclusion:
Thus, the length of side AC is m=8.484 inches
To determine
(b)
The value of ∠N.
Expert Solution
Answer to Problem 48AR
The value of angle N is ∠N=69.36°
Explanation of Solution
Given information:
The given figure is
Calculation:
Let us consider the triangle ABC, the value of angle N can be found from sine law. In triangle ABC,
From the calculated value of side AC ( m=8.484 inches ),
sinABC=sinBAC=sinCABsin∠N13.900=sin34°50'8.484=sin∠P14.4
sin∠N13.900=sin34°50'8.484sin∠N=sin34°50'8.484×13.900sin∠N=0.9358∠N=sin−1(0.9358)∠N=69.36°
∠N=69.36°
Conclusion:
Thus, the value of angle N is ∠N=69.36°.
To determine
(c)
The value of ∠P.
Expert Solution
Answer to Problem 48AR
The value of angle P is ∠P=75°48'
Explanation of Solution
Given information:
The given figure is
Calculation:
Let us consider the triangle ABC, the value of angle P can be found from sine law. In triangle ABC,
From the calculated value of side AC ( m=8.484 inches ),
sinABC=sinBAC=sinCABsin∠N13.900=sin34°50'8.484=sin∠P14.4
sin34°50'8.484=sin∠P14.4sin∠P=sin34°50'8.484×14.4sin∠P=0.9694∠P=sin−1(0.9694)∠P=75.81°∠P=75°48'
∠P=75°48'
Conclusion:
Thus, the value of angle P is ∠P=75°48'.
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Chapter 73 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 73 - With reference 1, name the sides of each of the...Ch. 73 - With reference to 1, name the sides of each of the...Ch. 73 - Prob. 3ARCh. 73 - Prob. 4ARCh. 73 - Prob. 5ARCh. 73 - Prob. 6ARCh. 73 - Prob. 7ARCh. 73 - Prob. 8ARCh. 73 - Prob. 9ARCh. 73 - Prob. 10AR
Ch. 73 - Prob. 11ARCh. 73 - Prob. 12ARCh. 73 - Determine the values A in degrees and minutes that...Ch. 73 - Determine the values A in degrees and minutes that...Ch. 73 - Determine the values A in degrees and minutes that...Ch. 73 - Determine the values A in degrees and minutes that...Ch. 73 - Determine the values A in degrees and minutes that...Ch. 73 - Determine the values A in degrees and minutes that...Ch. 73 - Determine the values A in decimal degree to 2...Ch. 73 - Determine the values A in decimal degree to 2...Ch. 73 - Determine the values A in decimal degree to 2...Ch. 73 - For each of the following functions of angles,...Ch. 73 - For each of the following functions of angles,...Ch. 73 - For each of the following functions of angles,...Ch. 73 - For each of the following functions of angles,...Ch. 73 - Solve the following exercises. Compute angles to...Ch. 73 - Solve the following exercises. Compute angles to...Ch. 73 - Solve the following exercises. Compute angles to...Ch. 73 - Prob. 29ARCh. 73 - Prob. 30ARCh. 73 - Prob. 31ARCh. 73 - Solve the following applied right triangle...Ch. 73 - Solve the following applied right triangle...Ch. 73 - Solve the following applied right triangle...Ch. 73 - Solve the following applied right triangle...Ch. 73 - Solve the following applied right triangle...Ch. 73 - Solve the following applied right triangle...Ch. 73 - Solve the following applied right triangle...Ch. 73 - Solve the following applied right triangle...Ch. 73 - Prob. 40ARCh. 73 - Prob. 41ARCh. 73 - Prob. 42ARCh. 73 - Prob. 43ARCh. 73 - Prob. 44ARCh. 73 - Prob. 45ARCh. 73 - Prob. 46ARCh. 73 - Prob. 47ARCh. 73 - Prob. 48ARCh. 73 - Prob. 49ARCh. 73 - Determine the sine, cosine, tangent, cotangent,...Ch. 73 - Determine the sine, cosine, tangent, cotangent,...Ch. 73 - Prob. 52ARCh. 73 - Prob. 53ARCh. 73 - Determine the sine, cosine, tangent, cotangent,...Ch. 73 - Prob. 55ARCh. 73 - Prob. 56AR
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