Please work out all questions clearly and legibly. Thank you very much.

8. Find the distance from the point (3,-1,2) to the line x - 2 + 2t, y = 1 + 6t, Z - 3. 9. Find the distance from the point (-1, 1,2) to the plane 2x + y + 2z -4. 10. An athlete puts a 16 lb shot at an angle of 45 to the horizontal from 6 ft above the ground at an initial speed of 40 ft/sec. How long after launch and how far from the inner edge of the stopboard does the shot land? 1 1. Find the maximum height, flight time, and range of a projectile fired form the origin over horizontal ground at an initial speed of 55 m/sec and a launch angle of 60. 12. A golf ball leaves the ground at a 45% angle at a speed of 90ft/sec. Will it clear the top of a 30 ft tree that is in the way 235 ft down the fairway? Explain. 13. Find the angle between the planes 2x + 2y - z - 3 and x + 2y + z - 2 14. Find the point where the line x = 1 + 2t, y = 1 + 5t, z - 3t intersects the plane x + y +z=2 15. Find the length of the indicated portion of the curve. r(t) = (2+t)i -(t+ 1)j + tk, Ost