Unit 3 Assessment 1. Puma Grove, the world's best female golfer, is two shots away from winning another tournament. From a marker exactly 200 meters from the pin, the angle between the pir and the ball is 110, as shown. From the ball, Puma checks the angle between the marker and the pin, 234 = 200 calculates, then swings. Her ball travels 234 meters directly to the pin. Pin Sin ( 170 ) sin (c ) 234 - 200 sing 200 m 234 m AC 0 9396 110 Marker 21 B C Ball 249 2 61 What was the measure of the angle between the marker and the pin? Do not round during your calculations. Round your final answer to the nearest degree. soh 200 08547 234 Can ton2, Satellites KA-12 and SAL-1 have spotted a UFO. Scientists want to determine its distance from KA-12 so they can later determine its size. The distance between these satellites is 900 km, as shown. From KA-12's perspective, the angle between the UFO and SAL-1 is 60 . From SAL-1's perspective, the angle between the UFO and KA-12 is 75 . KA- 12 Soh ? can UFO 60 . toa 900 km 75 Son SAL-1 How far is the UFO from KA-12? ten kilometers. Do not round during your calculations. Round your final answer to the nearest kmvertical, stretch act of 5 horizontal factor of translation to the right 3. Graph f (x) = 5 sin(2x - 31() - 2. Parent function is given. translation down 2 12f oh boy a factor of 4 vertical's horizontal shrink by a factor of 0,25 translation to the right 4. Graph g(x) = 4 cos(0.25x - 0.25TT) - 3 translation down ? 13 - 15- 18 005, A street sweeper has a gap where the broom bristles need replaced, so it leaves part of the street dirty. The function G(t) models the distance, in cm between the gap and the curb t minutes after the sweeper, begins distance between moving parallel to the curb. the the gap and the curb(0 17 minutes after they stop sweeping G(t) - 53 sin (540t) +55 What does the solution set for y = 53 sin-(540 . 0.7) + 55 represent? smallest value for * += 017 minutes 6. Josef is turning two jump ropes for a game. The function L(t) represents the height, in cm, of the center of the rope in his left hand t seconds after the game begins. Likewise, R(t) represents the height of the center of the rope in his right hand after t seconds. L(t) = 95 - 95 sin (2 R(t) = 95 + 95 sin 7 (t -2)) 2 Consider the following equation: 95 - 95 sin ( )= 95 + 95 sin ( T(t - 2) 2 What does the solution set for the last equation represent? The left and right hand are equal in terms of reightster 7. Lena is playing her accordion by compressing and stretching it. The accordion's length (in cm) t seconds after it's completely stretched is modeled by A(t). Here, t is entered in radians, A(t) = 25 cos (nt) + 65 How long does it take Lena to compress the accordion completely and then stretch it back out to a length of 50 cm? ACT ) = 25 cos ( JC+ ) +65 29.5 ) $3 84 Tangent and tan(8) - erigee (when it's closest to the earth). Her 8. D(t) models the distance (in thousands of km) from the earth to the DCT) : - 24 cos( 21 Reciprocal CO r the moor 0 = - atcos ( 2 02 + ) +384 29.5 Moon t days after t is in radians. 29 5t + 384 29, 5+ ) +384 D(t) = -21 cos How many days after its perigee does the moon first reach 380 thousands of km from the Earth? Round your final answer to the nearest whole day. Joe7. Lena is playing her accordion by compressing and stretching it. The accordion's length (in cm) & seconds after it's completely stretched is modeled by A(t). Here, t is entered in radians. A(t) = 25 cos (7it) + 65 How long does it take Lena to compress the accordion completely and then stretch it back out to a length of 50 cm? ACT ) = 25 cos ( JC+ ) +65 8. D(t) models the distance (in th Don t days after th thousands of km) from the earth to the t is in radians. moon's perigee (when it's closest to the earth). Here. D CT) = - 24 cos ( 212 29.5 + ) $3 84 D(t) = -21 cos 29.5 t + 384 0 = - 24(05 ( 202 + ) +384 29.5 Tangent and Cot How many days after its perigee does the moon first reach 380 thousands tan(6) - Singgy of km from the Earth? Reciprocal Ide cos(0 Round your final answer to the nearest whole day. 22 (05= (2-2 +) +384 29.5 sin