PreCalculus 7-R Unit 7 Trigonometric Graphs Review Problems
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Review Problems Find all exact value of t for which the given statement is true 37
Review Problems Find all exact value of t for which the given statement is true 38
Review Problems Find all exact value of t for which the given statement is true 39
Review Problems Find all exact value of t for which the given statement is true 40
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Review Problems Find the degree measure of the angle: 12° Find the degree measure of the angle: -450° 45
Review Problems To measure the speed of a current, scientists place a paddle wheel in the stream and observe the rate at which it rotates. If the paddle wheel has radius 3.2 m and rotates at 100 rpm, find the speed of the current in m/s
Review Problems Find sin a and cos B if x = 4, and y = 1. sin a =, cos = 47
Review Problems What is the side labeled x equal to, if y = 22? 11 48
Review Problems Find x correct to one decimal place. y =
Review Problems The angle of elevation to the top of a particular skyscraper in New York is found to be 12° from the ground at a distance of 1.3 mi from the base of the building. Using this information, find the height of the skyscraper ft 50
Review Problems A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level, and estimates the angle of elevation of the kite to be 55°. If the string is 470 ft long, how high is the kite above the ground? 385 ft 51
Review Problems A water tower is located x = 350 ft from a building (see the figure). From a window in the building it is observed that the angle of elevation to the top of the tower is 39 ° and the angle of depression to the bottom of the tower is 25°. How tall is the tower (t)? How high is the window (w)? t = 447 ft; w = 163 ft 52
Review Problems When the moon is exactly half full, the earth, moon, and sun form a right angle (see the illustration). At that time the angle formed by the sun, earth, and moon is measured to be If the distance from the earth to the moon is mi, estimate the distance from the earth to the sun. 53,858,204 mi 53
Review Problems From a satellite 500 mi above the earth, it is observed that the angle formed by the vertical and the line of sight to the horizon is Use this information to find the radius of the earth mi 54
Review Problems A winch of radius 3 ft is used to lift heavy loads. If the winch makes 7 revolutions every 15 s, find the speed at which the load is rising
Review Problems Find the side labeled x. State your answer correct to five decimal places
Review Problems Find the side labeled x. State your answer correct to five decimal places
Review Problems Find x correct to one decimal place
Review Problems A 66-ft tree casts a shadow that is 110 ft long. What is the angle of elevation of the sun? Please give the answer to one decimal place. 31.0° 59
Review Problems An airplane is flying at an elevation of 5900 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 52 and to the other is 51. How far apart are the cars? Please round the answer to the nearest foot ft 60
Review Problems Solve the right triangle. (a) Find b. Please give the answer to two decimal places. (b) Find r. Please give the answer to two decimal places. (c) Find ° 61
Review Problems Solve the right triangle. (a) Find a. Please give the answer to two decimal places. (b) Find b. Please give the answer to two decimal places. (c) Find B. Give your answer in radians
Review Problems Find the exact value for each trigonometric function. (a) sec 120° (b) tan 390° (c) cos 315° –2 63
Review Problems To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 34. One thousand feet closer to the mountain along the plain, it is found that the angle of elevation is 37. Estimate the height of the mountain. Please round the answer to the nearest foot
Review Problems An airplane is flying at an elevation of 5900 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 52 and to the other is 51. How far apart are the cars? Please round the answer to the nearest foot
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Answers ft ft 52. t = 447 ft; w = ,858,204 mi mi °-450°
Answers ° ft ° –