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ANSWERS TO HOMEWORK 1) 14.4 5) 9.9 9) 37 13) 53 2) 73.8 6) 7.1 10) 34 14) 51 17) x = 101.8, y = 63.6 19) x = 27.4, y = 12.2 21) x = 13.7, y = 78 23) x = 88, y = 46 3) 16.7 7) 10.3 11) 23 15) 46 18) 20) 22) 24) 4) 26.0 8) 5.6 12) 38 16) 27 x = 26, y = 64 x = 11.8, y = 10.7 x = 7.1, y = 44 x = 18, y = 9.3 8-7 APPLICATIONS OF RIGHT TRIANGLE TRIGONOMETRY Answers to Warm Up x sin 56 12 y cos 56 12 Equal y sin 34 12 x cos 34 12 x Reciprocal y tan 56 tan 34 y x EXAMPLE When the sun’s angle of elevation is 38°, a building casts a shadow of 45m. How tall is the building? x tan 38 45 x 35m x 45 38 EXAMPLE From the top of a lighthouse 20m tall, a sailboat is sighted having an angle of depression of 4°. How far from the lighthouse is the boat? 20 tan 4 x 20 x 286m x 4 TOO: DRAW A PICTURE AND SOLVE! 1) Two buildings on opposite sides of the street are 40m apart. From the top of the taller building the angle of depression to the top of the shorter building is 13°. How much shorter is the shorter building than the taller building? 9m 2) A road 1.6km long rises 400m. What is the angle of elevation? (Hint: 1000m = 1km) 14° SECRET COMPARTMENTS 20 10 x For 10 x: x Fill in the sides x 20 10 20 45 45 30 60 TRIANGLES RIGHT Solve SECRET COMPARTMENTS x sin10 20 x 3.5 20 cos10 x x 20.3 10 tan x 20 x 27 45 45-45-90 30-60-90 x x√2 45 x√3 x 60 30 2x x CHAPTER 8 Write four common triples and a multiple (x2) What do you use if it’s not a common triple? Your Name and Period SECRET COMPARTMENTS SECRET COMPARTMENTS 3,4,5 6,8,10 5,12,13 10,24,26 8,15,17 16,30,34 7,24,25 14,48,50 Pythagorean 2 2 + b2 c = a Theorem HOMEWORK Page 318 #1-6 Page 304 #1-7 (Self Test)