Math 2 Trig Group Quiz
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Determine the measures, to the nearest degree, of all the angles in the isosceles triangle. Enter angle A.
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angle B
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angle C
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A helicopter’s searchlight illuminates a circle on the ground. If the helicopter is 534 ft. above the ground. The light is shaped as in the picture, making a right angle and a 48° angle with the ground. What is the area the light makes on the ground (round to the nearest ft.)?
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You are on the top of a 418 ft building. As you look down to a smaller building, you observe the angle of depression to the base of the other building is 77° and the angle of depression to the top of the building is 46°. Find the height of the smaller building and the horizontal distance between the buildings. Enter the height of the building.
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Enter the distance between buildings.
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The diagonal of a square is (5√2)/7 . Find the area and perimeter of the square. Enter the area.
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Enter the perimeter
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Karla is riding vertically in a hot air balloon, directly over a point P on the ground. Karla spots a parked car on the ground at an angle of depression of 30°. The balloon rises 50 meters. Now the angle of depression to the car is 35°. How far is the car from point P?
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A map shows the positions of a subway stop and your house. The subway stop is located at ( –5, 2) and your house is located at (–9, 9). If the map’s units are inches and the scale is .75 inches per mile. What is the distance, to the nearest mile, between your house and the subway stop?
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Find the area of the trapezoid.
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Superman hovers 300 feet above Metropolis, monitoring the city with his vigilant eyes. Just when he began to believe that no evil would interrupt his day, his supersonic hearing picks up screams for help. To his left, Lex Luthor is attempting to cut off the mayor’s face and put it on his own so that he will be the new mayor. To his right, a cat is stuck in a tree and his owner is sad. The angle of elevation from Lex Luthor’s heinous crime to Superman is 61°. The angle of elevation from the cat in the tree is 55°. Superman can only stop one of the crimes. Which is Superman closest to and by how much?
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