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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):

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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?

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