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Challenging Practice Questions 1. Find the value of x in simplest radical form. 2. Find the values of x for the following special right triangle 3. The Goodyear Blimp flies over a football stadium. From her place in the cockpit, the angle of depression from the pilot to the stadium is 70°. If the blimp is 450m in the air what is its horizontal distance to the stadium. 4. Find the value of x and y given that the point in the “center” of the triangle is its centroid 5. The first person leaves at 13:00 walking at a speed of 5 km/h on a bearing of 35° E of North. The second person leaves the same house for a run at 14:30 for a run going 14 km/h on a bearing of 80° W of N. How far apart are the two at 16:00? (Assuming they continue on their same course the whole time.) 6. What is the direction (nearest degree) and magnitude (nearest tenth) of the vector 3, −7 . 7. Solve for the following triangles (find all sides and angles). a. sin 300° b. cos 225° c. tan 210° d. tan 270° e. sin 90° f. cos 540° a. b. 8. Find the exact measurements (no decimals) of the following trig functions