1. Solve the right triangle. Round answers to one decimal place if necessary. No

ID: 2920424 • Letter: 1

Question

1. Solve the right triangle. Round answers to one decimal place if necessary. Note: c is the hypotenuse.

a = 4 c = 10

2. Solve the oblique triangle. a = 2.3, b = 10.8, c = 9.7

3. Determine the number of solutions to the triangle. Do not solve.

A = 29 degrees, a = 7, b = 10

4.Determine the number of solutions to the triangle. Do not solve.

A = 57degrees, a = 62, b = 50

5. Determine the Quadrant that the point (3, pi/4) is in. Note: this point is in polar coordinates.

6. Determine the Quadrant that the point (-2, 5pi/6) is in. Note, this point is in polar coordinates.

7. Determine the Quadrant the point (-5, -7pi/6) is in. Note: this point is in polar coordinates.

8.Convert the following point from polar to rectangular coordinates.

(4, 4pi/3)

1) a = 4 , c = 10

applying pythagorean identity

a^2 + b^2 = c^2

b^2 = c^2 - a^2

b^2 = 10^2 - 4^2

b = sqrt ( 100 - 36 )

b = 8

2) a = 2.3 , b = 10.8 , c = 9.7

applying law of cosines

A = cos^-1 [ 10.8^2 + 9.7^2 - 2.3^2 ] / 2*10.8*9.7

A = 11.33 degrees

B = cos^-1 [ 2.3^2 +9.7^2 - 10.8^2 ] / 2*2.3*9.7

B = 112.76 degrees

C = 55.92 degrees

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