Exam 7: Applications of Trigonometry

Solve. -Two forces of 36 and 47 N (newtons) act on an object at right angles. Find the magnitude of the resultant and the angle that it makes with the smaller force.

Solve. -A tower is supported by a guy wire 471 feet long. The wire makes an angle of 70° with respect to the ground, and the distance from the point where the wire is attached to the ground and the tower is 218 feet. Approximate The height of the tower to the nearest tenth of a foot.

Eliminate the parameter of the pair of parametric equations. -

Find all specified roots. -Cube roots of -8

Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form. -

Perform the operation using trigonometric form. Write the answer in the form a + bi -

Approximate the area of the triangle to the nearest tenth. - = 48.3°, b = 87, c = 12.7

Graph the polar equation. -

Solve the equation. Express your answer in trigonometric form. - - 11 = 0

Determine the number of triangles with the given parts. -b = 41, c = 51, = 102°

Solve the equation. Write the answer in a + bi form. -

Change the polar coordinates to rectangular coordinates (x, y). -

Change the polar coordinates to rectangular coordinates (x, y). -(4, 270°)

State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the same direction or in opposite directions. -a = 2, -2 , b = 4, 4

Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 30.0° a = 21.18 B = 42.36

Solve the triangle with the given parts. -

Perform the indicated operation. Use the form <a, b> for vectors. -u = <5, -10>, v = <-8, -3>; Find u + v.

State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the same direction or in opposite directions. -a = 5, 0 , b = 0, -5

Express the given vector as a linear combination of the unit vectors i and j. -0, -15

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -