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Warm Up • Use Pythagorean theorem to solve for x. 1. 2. Simplify the following radicals. 3. 720 4. 126 5. 108 Right Triangle Trigonometry Right Triangle Trig Ratios sin cos tan csc sec cot Find the exact values of the six trig functions of 17 8 Sketch a right triangle corresponding to the trig ratio given. Use it to find the other five trig ratios. 24 cos 25 csc 3 Solving for the missing side lengths and angle measures in the triangles using trig… A 15 foot ladder is leaning against a building. If the base of the ladder is 8 feet from the building, what is the angle the ladder makes with the building? Angle of elevation… Angle of depression… An airplane, flying at an altitude of 2000 feet, is directly over a power plant. The navigator finds the angle of depression to the airport to be 19º10’. How far is the plane from the airport? While traveling across flat land, you notice a mountain directly in front of you. The angle of elevations to the peak is 2º30’. After you drive 18 miles closer to the mountain, the angle of elevation is 10º25’22”. What is the height of the mountain? From the top of the 100 foot tall building a man observes a car moving toward the building. If the angle of depression of the car changes from 22° to 46° during the period of observation, how far does the car travel? Homework • Pg 366-367 #s 4, 6, 50, 51, 52, 61 • Pg 431-432 #s 2, 3, 7, 10, 14, 16