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Name___________________________________ Date:________________ Per. ____________ Advanced Algebra & Trigonometry Review for Quiz 5.2 Part B Write an equation and then use your calculator to find the missing angle. Express all angles in degrees and round to 2 decimal places where necessary. 1. 2. 6.5 ft. 7.3 cm 10.5 ft. 15 cm 3. 4. 20 cm 10.5 ft. 13.5 ft. 8.4 cm 5. is an acute angle and sin is given. Use the Pythagorean Identity sin 2 cos 2 1 to find cos . 5 sin 12 6. is an acute angle and tan is given. Use the Pythagorean Identity tan 2 1 sec 2 to find sec . 1 tan 2 7. Use the Pythagorean Identities to rewrite the given expressions as a single trigonometric function. a) cot 2 23 1 b) 1 sin 2 62 8.) A 90 foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the floor? DRAW A FIGURE A. Write an equation to solve this problem. _____________________ B. Solve for the angle and round to the nearest degree. Show all algebraic work. ____________________ 9.) A ladder is mounted on a fire truck, six feet above the ground. If the maximum angle to which it can be raised is 75 degrees, how high up will it reach? (Remember that the ladder doesn’t start on the ground.) A. Write an equation to solve this problem. _____________________ B. Solve for the height and round to 2 decimal places. Show all algebraic work. ____________________ The ladder can reach __________ft. 10.) The Sonar on a destroyer ship detects a submarine at a depth of 200m. If the angle of depression is 31 degrees, how far apart are the two vessels? A. Write an equation to solve this problem. 31° _____________________ B. Solve for the distance and round to 2 decimal places. Show all algebraic work. ____________________