Transcript Lesso 9-3
Lesson 9-3: Angles of Elevation & Depression Horizontal Angle of depression Height Height Angle of elevation Horizontal Using Angle of Elevation & Depression Trigonometry can be used to find lengths without actually having to measure. ? ANGLE OF Elevation ______________! 400 7920 ft. horizontal A map tells this hiker the _____________ distance to a mountain is 1.5 miles (or 7920 ft.). An instrument tells him the angle to look up to see the 40 degrees peak of the mountain is ____________. height Can the hiker tell the __________ of the mountain? Using trigonometry, the hiker can find the height: opposite 7920 = ___________; adjacent ________ angle is 400; which trig ? = ___________; ratio should he use? tangent ___________ x 0 40 tan___ 7920 6646 ft. x = _________ Similar problem: could a person standing on the mountain looking at the hiker find how high they are? 7920 ft. 400 ? ANGLE OF Depression ____________! The looks of the triangle may have change but the _______________ and _________________ have not! Numbers Relationships Solving Elevation/Depression PICTURE DRAW A __________ Identify a ________ _________ right triangle elevation or depression Find angle of __________________ sides Identify _______ (opposite, adjacent, or hypotenuse SOH-CAH-TOA 5. Write equation : _______________ Solve 6. ________ 1. 2. 3. 4. Example 1 A roller coaster car is at one of its highest points. It drops at a angle for 320 feet. How high was the roller coaster car to the nearest foot before it began its fall? Answer: The roller coaster car was about 285 feet above the ground. Example 2 At the circus, a person in the audience 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 member’s line of sight to the top of the acrobat is Make a drawing Label Identify Equation Solve Answer: The audience member is about 60 feet from the base of the platform.