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10. Application A guy wire is attached to the top of a vertical tower and to an anchor point on horizontal ground 20 m from
10. Application A guy wire is attached to the top of a vertical tower and to an anchor point on horizontal ground 20 m from the base of a tower (below left). The guy wire makes an angle of 75 with the ground. Determine the height of the tower to the nearest metre. tower wire 4.8 cm 75 370 beor -20 m (11./A rectangle is 4.8 cm wide (above right). A diagonal of the rectangle makes an angle of 37 with the longer side of the rectangle. shaba) Determine the length of the diagonal to the nearest millimetre. to asnil b) Determine the length of the rectangle to the nearest millimetre. 12. A ladder is 3.0 m long. It is leaning against a wall. The foot of the ladder makes an angle of 76 with the ground. How far up the wall is the top of the ladder? Give the length to the nearest tenth of a metre. 11. A ladder 3.5 m long is leaning against a wall. The foot of the ladder is 1.0 m from the wall. To the nearest Wall degree, what angle does the ladder make with the ground? ladder pan Poglong 3.5 m 1.0 mix 16. /A cable car rises 150 m for every 50 m it travels horizontally. What angle does the cable make with level ground?A wire runs from the top of a post, P, to the ground where it passes through an anchor. Then it is attached to the top of another post, Q. The angles of inclination of the wires are 39' and 28. The length of the wire from post P to the anchor is 4.8 m, and from the anchor to post Q is 6.4 m. Calculate the distance between the posts. P. 4.8 m 6.4 m 39 28 anchor '5.)An oil pipeline is constructed around an obstacle. Two straight sections of pipeline, one 4.28 km long and the other 3.44 km long, are joined so the angle between them is 159. How much more pipe will be used as a result of the obstacle? (7.) At a certain time, the angles of elevation of an airplane, measured from two tracking stations, A and B, 5.8 km apart, are 47 and 53. Determine the distance between the airplane and tracking station B. (Assume the tracking stations and the airplane are in the same vertical plane.) 12 From a point on shore, an observer sees two ships at sea. Ship A is 4.9 km from the observer and ship B is 7.3 km from the observer. The angle between the lines of sight to the ships is 67. Determine the distance between the ships. 14. A farmer has a triangular field. From one corner of the field, it is 435 m to the second corner and 656 m to the third corner. The angle between the lines of sight to the second and third corners is 49. Calculate the perimeter of the field to the nearest metre. 15. From the top of a building 70 m high, the angle of depression of a car on a road is 27. How far is the car from the foot of the building? 17, Two cabins are in the same vertical plane as a tower, and on opposite sides of the tower. The tower is 118 m high. The angles of depression of the cabins are 10' and 6. Determine the distance between the cabins. 20. Two trees are 100 m apart. From the midpoint between the trees, Bozena measures the angles of elevation of their tops woll as 7' and 10'. How tall are the trees? 100 m
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