A park ranger, lying on the ground, wanted to measure the height of a tall tree. The ranger was 6.79 m from the base of the tree; and he observed that his line of sight made an angle of 66.5" above the horizontal as he looked at the top of the tree. What is the height of the tree, in meters? Please round your answer to two decimal places.During a high school track meet, an athlete performing the long jump runs and leaps at an angle of 25" and lands in a sand pit 8.5 m from his launch point. If the launch point and landing points are at the same height, y = 0 m, with what speed does the athlete land?An eagle takes off from a tree branch on the side of a mountain and flies due west for 225 m in 19 s. Spying a mouse on the ground to the west, the eagle dives 441 m at an angle of 65 relative to the horizontal direction for 11 s to catch the mouse. Determine the eagle's average velocity for the thirty second interval.While on a two-hour trip, a small boat travels 60 km north and then travels 80 km east. What are the magnitude and the direction (with respect to east) of the boat's average velocity for the two-hour trip? Note that total time elapsed is 2.0 hours.Two cannons are mounted on a high cliff. Cannon A fires balls with twice the initial velocity of cannon B. Both cannons are aimed horizontally and fired. How does the horizontal range of cannon A compare to that of cannon B? O The range for both balls will be the same O The range of the cannon ball B is about 1.4 times that of cannon ball A. O The range of the cannon ball B is about one-half that of cannon ball A. The range of the cannon ball B is about 0.7 times that of cannon ball A. The range of the cannon ball B is about twice that of cannon ball A