Try this out Using the figure below write the equations that would enable you to solve each problem. 1. If A = 15 and c = 37, find a. 2. If A = 78 and a = 13, find b. 3. If A 49 13' and a 10, find c. 4. If a = 21.2 and A = 71 13', find b. 5. If a 13 and B = 18, find c. 6. If A 19 07' and b= 11, find c. 7. If c = 16 and a = 7, find b. 8. If b = 10 and c = 20, find a. B 00 14, A A/42° 9. If a = 7 and b = 12, find A. 10. If a = 8 and c = 12, find B.
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Answer:
To solve the problems using the given figure, we can apply the trigonometric ratios sine, cosine, and tangent. Here are the equations for each problem:
1. If A = 15 and c = 37, find a.
Equation: sin(A) = a/c
2. If A = 78 and a = 13, find b.
Equation: tan(A) = b/a
3. If A = 49° 13' and a = 10, find c.
Equation: c = a/sin(A)
4. If a = 21.2 and A = 71° 13', find b.
Equation: b = a/tan(A)
5. If a = 13 and B = 18°, find c.
Equation: c = a/sin(B)
6. If A = 19° 07' and b = 11, find c.
Equation: c = b/cos(A)
7. If c = 16 and a = 7, find b.
Equation: b = sqrt(c^2 - a^2)
8. If b = 10 and c = 20, find a.
Equation: a = sqrt(c^2 - b^2)
9. If a = 7 and b = 12, find A.
Equation: A = atan(b/a)
10. If a = 8 and c = 12, find B.
Equation: B = asin(a/c)
Note: In the equations, sin represents the sine function, cos represents the cosine function, tan represents the tangent function, and atan represents the arctangent function. The values for angles should be in degrees.