1. Find the sin B, cos B, and tan B.D.N.A.2. Find the value of x.

Find x. Round to the nearest tenth.1)2)3)

8 5: Angles of Elevation and Depressionpp. 464 - 470

Lesson 5 MI/Vocabangle of elevationangle of depressionSolve problems involving angles of elevation.Solve problems involving angles of depression.Standard 19.0 Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side. (Key)

Lesson 5 Ex1Angle of ElevationCIRCUS ACTS At the circus, a person in the audience at ground level watches the high-wire routine. A 5-foot-6-inch tall acrobat is standing on a platform that is 25 feet off the ground. How far is the audience member from the base of the platform, if the angle of elevation from the audience members line of sight to the top of the acrobat is 27?Make a drawing

Lesson 5 Ex1Angle of ElevationMake a drawing= OppositeAdjacent =S o:hC a:hT o:a

ABCDLesson 5 CYP1DIVING At a diving competition, a 6-foot-tall diver stands atop the 32-foot platform. The front edge of the platform projects 5 feet beyond the ends of the pool. The pool itself is 50 feet in length. A camera is set up at the opposite end of the pool even with the pools edge. If the camera is angled so that its line of sight extends to the top of the divers head, what is the cameras angle of elevation to the nearest degree?

CameraDiver = 6Platform height = 32Pool width = 50Opp = 38Adj = 45Make a drawingS o:hC a:hT o:a

ABCDLesson 5 CYP1A.37 B.35 C.40 D.50 DIVING At a diving competition, a 6-foot-tall diver stands atop the 32-foot platform. The front edge of the platform projects 5 feet beyond the ends of the pool. The pool itself is 50 feet in length. A camera is set up at the opposite end of the pool even with the pools edge. If the camera is angled so that its line of sight extends to the top of the divers head, what is the cameras angle of elevation to the nearest degree?

Angle of Depressionadj.hyp.

Lesson 5 Ex2A wheelchair ramp is 3 meters long and inclines at 6. Find the height of the ramp to the nearest tenth of a centimeter.A 0.3 cmB 31.4 cmC 31.5 cmD 298.4 cmAngle of DepressionOpposite xHypotenuse

Lesson 5 Ex2Answer: The height of the ramp is about 0.314 meters, or 0.314(100) = 31.4 centimeters. The answer is B.Multiply each side by 3.Simplify.

Lesson 5 CYP2ABCDA.145 ftB.628 ftC.359 ftD.285 ftA roller coaster car is at one of its highest points. It drops at a 63 angle of depression for 320 feet. How long of a vertical distance was the drop?

Homework:pp 466 470, problems 1 10, 27, and 29 35

Lesson 5 Ex3Indirect MeasurementVernon is on the top deck of a cruise ship and observes two dolphins following each other directly away from the ship in a straight line. Vernons position is 154 meters above sea level, and the angles of depression to the two dolphins are 35 and 36. Find the distance between the two dolphins to the nearest meter.

Lesson 5 Ex3Indirect Measurement MLK and MLJ are right triangles. The distance between the dolphins is JK or JL KL. Use the right triangles to find these two lengths.

Lesson 5 Ex3Indirect MeasurementVernon is on the top deck of a cruise ship and observes two dolphins following each other directly away from the ship in a straight line. Vernons position is 154 meters above sea level, and the angles of depression to the two dolphins are 35 and 36. Find the distance between the two dolphins to the nearest meter.

219.93 mAnswer: The distance between the dolphins is JK KL. JL KL 219.93 211.96, or about 8 meters.

ABCDLesson 5 CYP3A.14 ftB.24 ftC.37 ftD.49 ftMadison looks out her second-floor window, which is 15 feet above the ground. She observes two parked cars. One car is parked along the curb directly in front of her window, and the other car is parked directly across the street from the first car. The angles of depression of Madisons line of sight to the cars are 17 and 31. Find the distance between the two cars to the nearest foot.

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