1. Geometry Warm-Up Solve for the missing side (Solve for x): Set up ratio, last step, plug into calculator 52° 32 x 33° 8x 13° x11

2. 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!!!

3. Step 1: draw and label a picture Step 2: set up your proportion Step 3: Solve and label your answer 26ft 33.5 o x 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? x = 47.1 feet

4. Angle of Depression and Elevation If you look up, you measure the angle of elevation If you look down you measure the angle of depression The angle of depression and elevation are congruent

5. Example 2: The angle of elevation from a sailboat to the top of lighthouse on shore is 16 o. If the sailboat is 422 ft from shore, how tall is the lighthouse? x 16 o 422 ft Set up a proportion: x = 121 ft

6. Example 3: The angle of depression is 8 o 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? 25m x m Where is the angle of depression? 8o8o 8o8o Here it is! x = 177.9 m

7. Summary: What information do you need in order to solve a right triangle word problem?