In Review Exercises 5 to 8, state the ratio needed, and use it to find the measure of the indicated angle to the nearest degree. 5. 6. B 10 ft 14 in. 13 in. 15 ft 26 ft Isosceles trapezoid ABCD
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- In Exercises 5 to 8, state the ratio needed, and use it to find the measure of the indicated angle to the nearest degree.In Review Exercises 21 to 30, use the drawings, where provided, to solve each problem, Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit. An observer in a plane 2500 m high sights two ships below. The angle of depression to one ship is 32 , and the angle of depression to the other ship is 44 . How far apart are the ships?In Exercises 39 to 45, angle measures should be given to the nearest degree; distance should be given to the nearest tenth of a unit. While a helicopter hovers 1000 ft above the water, its pilot spies a man in a lifeboat through an angle of depression of 28. Along a straight line, a rescue boat can also be seen through an angle depression of 14. How far is the rescue boat from the lifeboat?
- In Exercises 21 to 30, use the drawings, where provided, to solve each problem, Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit. The basket of a hot-air balloon is 300 ft high. The pilot of the balloon observes a stadium 2200 ft away. What is the measure of the angle of depression?In Exercises 39 to 45, angle measures should be given to the nearest degree; distance should be given to the nearest tenth of a unit. From atop a 200-ft lookout tower, a fire is spotted due north through an angle of depression of 12. Firefighters located 1000 ft due east of the tower must work their way through heavy foliage to the fire. By their compasses, through what angle measured from the north toward the west must the firefighters travel?In Exercises 27 to 34, use the drawings, where provided, to solve each problem. Angle measures should be given to the nearest degree; distances should be given to the nearest tenth of a unit. A 12-ft rope secures a rowboat to a pier that is 4ft above the water. Assume that the lower end of the rope is at water level. What is the angle formed by the rope and the water? Assume that the rope is taut.
- In Exercises 21 to 30, use the drawings, where provided, to solve each problem, Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit. An observer in a plane 2500 m high sights two ships below. The angle of depression to one ship is 32 , and the angle of depression to the other ship is 44 . How far apart are the ships?In exercises 21 to 30. Use the drawings. Where provided, to solve each problem. Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit. In the evening, a tree that stands 12 ft tall casts a shadow. If the angle of depression from the top of the tree to the tip of the shadow is 55, what is the length of the shadow?In exercises 21 to 30. Use the drawings. Where provided, to solve each problem. Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit. A 4-m beam is used to brace a wall. If the bottom of the beam is 3 m from the base of the wall, what is the angle of elevation to the top of the wall?
- In Exercises 39 to 45, angle measures should be given to the nearest degree; distance should be given to the nearest tenth of a unit. Kristine observes the top of a lookout tower from a point 270 ft from its base. If the indicated angle of elevation measures 37, how tall is the tower?Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. When 1 is slightly greater than 0: a. How does side y compare to side r? b. How does side x compare to side r? c. How does side x compare to side y?In Exercise 29 to 37, angle measures should be given to the nearest degree; distances should be given to the nearest tenth of a unit. In searching for survivors of a boating accident, a helicopter moves horizontally across the ocean at an altitude of 200 ft above the water. If a man clinging to a life raft is seen through an angle of depression of 12, what is the distance from the helicopter to the man in the water?.