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Mathematics, 24.07.2020 01:01 hazle9409
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1. An overhead crane is suspended from a ceiling by two chains. One chain is 4.6 m long and forms an angle of 60° with the ceiling. The other chain is 6.4 m long. What angle does the larger chain make with the ceiling?
2. At noon, two tracking stations on Earth, 20 km apart, measure the angles of elevation of a rocket that was launched with a weather satellite. From Station A, the angle of elevation is 41° and from Station B it is 75°. Find the altitude of the rocket to the nearest tenth. Note: Both tracking stations are on the same side of the rocket.
3. A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fence for his farm. From one vertex, it is 435 m to the second vertex and 656 m to the third vertex. The angle between the lines of sight to the second and third vertices is 49°. Calculate how much fencing he would need to enclose his entire field.
4. A balloonist at an altitude of 226 m observes the angles of depression of one point on the ground as 2 degrees, and another point as 3 degrees. The angle directly below the balloon and along the ground between the horizontal sight lines of the two points is 80 degrees. What is the distance between the two points?
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