Pre-Calc Week 1-3 (Subject to change) Monday (9/9) - Trig Functions HW: Trig function Worksheet Tuesday/Wednesday {9/10 & 9/11} - Right Triangle Applications Complete Trig Chart In Class HW: Section 4.3 Worksheet *** TUTORIALS Wednesday: 6:40 am and 2:40 pm *** Thursday (9/12) - Review Test Review - Worth an assignment grade and +5 on test. Friday {9/13) - Test Foundations of Trig Part l Exam ** TURN IN ALL ASSIGNMENTS ON FRmDAY*** For full credit: All homework must be complete and done in pencil with work shown. Follow instructions AND make sure the edges are clean. Keahey 9/2013 Name Date Period Worksheet- Trig Functions In each of the following problems, the terminal side of an angle in standard position passes through point P. Draw ÿ? and find the exact values of the six trig functions of t?. 1. P (3, 4) 2. P (12,-5) 3. P, (-3,-3) 4. P (-2, -,J-3) Find the exact values of the other five trig functions for an angleO in standard position, given the following. 24 ÿ5. cosÿ<8<0 25' 2 1 6. cose=-3 2 =<0<2= = 3= --3 --<e<-7. sine= ' 2 2 8. sece=2,0<e <= x o o x o o9 xÿ o9 c) x c X v o o x c o9 o0 (D 0 o cO ÿ ÿ 0 (ÿD 0 o uO (kl 0"ÿ ..ÿ cO .,ÿ 0 LD (D E3 00 o cJ nÿ c cÿ 0 E m m ÿ m 0 0 O0 LO 0 0 0 ÿ Od ÿ rÿ o od cxj od od co .,ÿ o o co cO co cO Section 4.3 Worksheet Draw diagrams for problems that do not have diagrams. Round all lengths to the nearest hundredth and all angle measures to the nearest degree. The angle of depression is measured from the top of a 43-ft tower to a reference point on the ground. Its value is found to be 63°. How far is the base of the tower from the point on the ground? 1 The angle of depression from a searchlight to its target is 58°. How long is the beam of light, if the searchlight is 26 ft above the ground? ,,"31 1 A NASA recovery helicopter hovers 75 ft above a space capsule, if the angle of depression to the recovery ship is 40°, how far is the ship from the space capsule? , The entrance of the old town library is 2.3 ft above the ground level. A ramp fro the ground level to the library entrance is scheduled to be built. The angle of elevation from the base of the ramp to its top is to be 15°. Find the length of the ramp. , A closed circuit television camera is mounted on a wall 7.4 ft above a security desk in an office building. It is used to view an entrance door 9.3 ft from the desk. Find the angle of depression from the camera lens to the entrance door. . To illuminate the entrance of an apartment building, a night light is mounted on a 6.6 m polel If the base of the pole is 24 m from the entrance, find the angle of depression from the light. 4m . The angle of elevation from the bottom of the world's longest slide, located in Peru, Vermont, is approximately 10.3°. The slide has a vertical drop of 821 ft. Find the length of the slide. 1 The largest doors in the world are located in the Vehicle Assembly Building near Cape Kennedy, Florida. If the angle of elevation from a point on the ground 199 ft from the base of the doors is 66.6°, how high are the doors? . The world's longest escalator is the Leningrad Underground in Lenin Square. The escalator has an angle of elevation of 10.36° and a vertical rise of 195.8 ft. Find the length of the escalator. 10. The world's tallest fountain is in Fountain Hills, Arizona. If the angle of elevation to the top of the fountain from a point 755 ft from its base is 36.5°, find the height of the fountain. 11. 12. The sun is 25° above the horizon. Find the length of a shadow cast by a silo that is 50 feet tall. The sun is 20° above the horizon. Find the length of a shadow cast by a building that is 600 feet tall. 13. A ladder 20 feet long leans against the side of a house. Find the height from the top of the ladder to the ground if the angle of elevation of the ladder is 80°. 14. Your football has landed at the edge of the roof of your school building. When you are 25 feet from the base of the building, the angle of elevation to your football is 21°. How high off the ground is your football? Warm Up Name Dates Monday Tuesday Wednesday Thursday ! Friday
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