Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Trigonometry (MindTap Course List)
80E81E82E83ETrue or False? In Exercises 83 and 84, determine whether the statement is true or false. Justify your answer. A sliding door moves along the line of vector PQ. If a force is applied to the door along a vector that is orthogonal to PQ, then no work is done.85E86E87E88E89E90E91E92E93E1REUsing the Law of Sines In Exercises 112, use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places.3RE4RE5RE6RE7RE8RE9RE10RE11RE12RE13RE14RE15RE16RE17RE18RE19RERiver Width A surveyor finds that a pier on the opposite bank of a river flowing due east has a bearing of N2230E from a certain point and a bearing of N15W from a point 400 feet downstream. Find the width of the river.21RE22RE23RE24RE25RE26RE27RE28RE29RE30RE31RE32RE33RE34RE35RE36REGeometry The lengths of the sides of a parallelogram are 10 feet and 16 feet. Find the lengths of the diagonals of the parallelogram when the sides intersect at an angle of 28.38RESurveying To approximate the length of a marsh, a surveyor walks 425 meters from point A to point B. Then the surveyor turns 65 and walks 300 meters to point C (see figure). Find the length AC of the marsh.Air Navigation Two planes leave an airport at approximately the same time. One plane flies 425 miles per hour at a bearing of 355, and the other plane flies 530 miles per hour at a bearing of 67 (see figure). Determine the distance between the planes after they fly for 2 hours.41RE42RE43RE44RE45RE46RE47RE48RE49RE50RE51RE52RE53RE54RE55RE56RE57RE58RE59RE60RE61RE62RE63RE64RE65RE66RE67RE68RE69RE70RE71RE72RE73RE74RE75RE76RE77RE78RE79RE80RE81RE82RE83RE84RE85RE86RE87RE88RE89RE90RE91RE92RE93RE94RE95RE96RE97RE98RE99RE100RE101RE102REWork Determine the work done by a crane lifting an 18,000-pound truck 4 feet.104RE105RE106RE107RE108RE109RE110RE111RE112RE113RE1T2T3T4T5T6T7T8T9T10T11T12T13T14T15T16T17T18TDetermine whether the vectors u=6,10 and v=5,3 are orthogonal.20T21T22TTake this test as you would take a test in class. When you are finished, check your work against the answers given in the back of the book. Consider the angle =120. (a) Sketch the angle in standard position. (b) Determine a coterminal angle in the interval 0,360. (c) Rewrite the angle in radian measure as a multiple of . Do not use a calculator. (d) Find the reference angle . (e) Find the exact values of the six trigonometric functions of .2CT3CT4CT5CT6CT7CT8CT9CT10CT11CT12CT13CT14CT15CT16CT17CT18CT19CT20CT21CT22CT23CT24CT25CT26CT27CT28CT29CT30CT31CT32CT33CTFind a unit vector u in the direction of v=i+j35CT36CT37CT38CTFrom a point 200 feet from a flagpole, the angles of elevation to the bottom and top of the flag are 1645 and 18, respectively. Approximate the height of the flag to the nearest foot.To determine the angle of elevation of a star in the sky, you align the star and the top of the backboard of a basketball hoop that is 5 feet higher than your eyes in your line of vision (see figure). Your horizontal distance from the backboard is 12 feet. What is the angle of elevation of the star?41CT42CT43CTDistance In the figure, a beam of light is directed at the blue mirror, reflected to the red mirror, and then reflected back to the blue mirror. Find PT, the distance that the light travels from the red mirror back to the blue mirror.2PSLocating Lost Hikers A group of hikers is lost in a national park. Two ranger stations receive an emergency SOS signal from the hikers. Station B is 75 miles due east of station A. The bearing from station A to the signal is S60E and the bearing from station B to the signal is S75W. (a) Draw a diagram that gives a visual representation of the problem. (b) Find the distance from each station to the SOS signal. (c) A rescue party is in the park 20 miles from station A at a bearing of S80W. Find the distance and the bearing the rescue party must travel to reach the lost hikers.4PS5PS6PS7PS8PS9PS10PS13PS14PSPerform each operation and write the result in standard form a.7+3i+54ib.3+4i53ic.2i+34i33id.53i+3+5i8+2i2ECP3ECP4ECP5ECP6ECP1E2E3E4E5E6E7E8EEquality of Complex Numbers In Exercises 710, find real numbers a and b such that the equation is true. a2+b+1i=6+5i10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E