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Ryan, Engineer
Category: Pre-Calculus
Satisfied Customers: 9022
Experience:  B.S. in Civil Engineering
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Solve the triangle a=4.24m c=5.61m =25.4degrees whats is

Customer Question

solve the triangle a=4.24m c=5.61m B=25.4degrees
whats is the length of side b
what is the measure of angle A
whar is the measure of angle C
Submitted: 2 years ago.
Category: Pre-Calculus
Expert:  Ryan replied 2 years ago.
Welcome! Thank you for using the site.
From the Law of Cosines, the length of b is:
b^2 = a^2 + c^2 - 2ac*cosB
b^2 = (4.24)^2 + (5.61)^2 - 2(4.24)(5.61)cos(25.4)
b^2 = 6.4755
b = 2.54 m
From the Law of Sines, the measure of angle A is:
sin A / 4.24 = sin 25.4 / 2.54
sin A = 4.24 * sin 25.4 / 2.54
sin A = 0.7160
A = arcsin(0.7160)
A = 45.7
Finally, the measure of angle C is:
C = 180 - A - B
C = 180 - 45.7 - 25.4
C = 108.9

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