Unit 5 Trigonometry Test Review

  1. tan (-87o)
  1. cos (178o)
  1. sin (-60o)
  1. sin (x) = 0.8
  1. cos (x) = -1.7
  1. tan (x) = -9.5

  1. y = 1/2sin (x) +2
  1. Midline:
  2. Amplitude:
  3. Increasing:
  4. Decreasing:
  1. A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?
  1. From the top of a vertical cliff 40 m high, the angle of depression of an object that is level with the base of the cliff is 34º. How far is the object from the base of the cliff?
  1. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How tall is the flagpole?
  1. In ABC, mC = 30 and a = 8. If the area of the triangle is 12, what is the length of side b?
  1. In ABC, a = 8, b = 9, and mC = 135. What is the area of ABC?

Use trig ratios and your graphing calculator to approximate each length to the nearest tenth (these are all RIGHT triangles).

Law of Sines - Solve each triangle. Round your answers to the nearest tenth.

  1. mA70°,c , a 
  1. mB117°,a ,b 
  1. mC13°, mA22°,c 

Law of Cosines - Solve each triangle. Round your answers to the nearest tenth.

  1. In ABC, a 14 cm, b 9 cm, c 6 cm
  1. In XYZ, mX138°, y 15 in, z 25 in
  1. In QRP, q 12 in, p 28 in, r 18 in