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Geometry Warm-Up Solve for the missing side (Solve for x): Set up ratio, last step, plug into calculator. 8. x. x. x. 11. 33°. 52 °. 13°. 32. 12.2 Problem Solving with Right Triangles. 1. Right triangle trig is often used to indirectly find the height of a tall object.
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Geometry Warm-Up Solve for the missing side (Solve for x): Set up ratio, last step, plug into calculator 8 x x x 11 33° 52° 13° 32
12.2 Problem Solving with Right Triangles 1. Right triangle trig is often used to indirectly find the height of a tall object. 2. For each problem you must draw a picture!!!
Example 1: A water slide is 26 feet high. The angle between the slide and the water is 33.5°. What is the length of the slide? Step 1: draw and label a pictureStep 2: set up your proportionStep 3: Solve and label your answer x 26ft x = 47.1 feet 33.5o
Angle of Depression and Elevation If you look down you measure the angle of depression If you look up, you measure the angle of elevation The angle of depression and elevation are congruent
Example 2:The angle of elevation from a sailboat to the top of lighthouse on shore is 16o. If the sailboat is 422 ft from shore, how tall is the lighthouse? Set up a proportion: x 16o 422 ft x = 121 ft
Example 3: The angle of depression is 8o from a watch tower to a forest fire if the watch tower is 25 m high, what is the distance between the base of the tower and the fire? Where is the angle of depression? Here it is! 8o 25m 8o x m x = 177.9 m
Summary:What information do you need in order to solve a right triangle word problem?