Answer each questions correctly. Remember, you are only required to show ALL of your work for questions 1, 2, 3, 4, and 5. After that, you can only put the answers if you want to.

Find the coordinates of the point on a circle with radius 20 corresponding to an angle of 120 . (M!) = (|:|M |:|T) A child enters a carousel that takes one minute to revolve once around. The child enters at the point (1, 0). Assume the carousel revolves counter clockwise. What are the coordinates of the child after 1 minutes and 45 seconds? (19,31): (0 cz-x) A radio tower is located 450 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 37 , and the angle of depression to the bottom of the tower is 40 . How tall is the tower? Round to the nearest foot. feet A 300foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is 12 , and the angle of depression is 3 to the bottom of the monument. How far is the person from the monument? feet A 31 foot ladder leans against a building so that the angle between the ground and the ladder is 80. How high does the ladder reach up the side of the building? Round to 2 decimal places. feet The angle of elevation to the top of a building is found to be 15 from the ground at a distance of 2 miles from the base of the building. Find the height of the building to the nearest foot. feet 1. Solve the following in Radians using sum or distance formulas: (a) sin(1350) (b) cos(15 ) 2. Find the six trigonometric function from the figure below. (-2, 6)9 X3. Graph the following Trig function: y = 2 sin (2x - ?) - 37/4 -2n/4 On/4 17:/4 2ni/4 3ri/4 41/4 Sm/4 10m/4 19/4 12/4 141/4 15m/4 16m/4 4. From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of depression of tenth of a foot? 40. If the tower is 45 feet in height, how far is the partner from the base of the tower, to the nearest 400 45' MathBits.com X 5. Solve the following Trig identity: tan?(x) sin?(x) = tan?(x) - sin?(x)Let f(x) = sin(ac). On [0, 27), solve f(a) = - V2 2 Find all values of x. a = Preview Preview\fA Ferris Wheel is 20 meters in diameter and boarded from a platform that is 2 meters above the ground The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 20 minutes. The function h(t) gives a person's height in meters above the ground t minutes after the Wheel begins to turn a. Find the amplitude, midline, and period of h(t). Amplitude: meters Period: minutes Midline: h = meters b. How high off the ground is a person aer 10 minutes? meters Preview