SOLID MENSURATION I 4. A tower 125 feet high stands on the side of a hill. At the point 240 feet from the foot of the tower, measured straight down the hill, the tower subtends an angle of 25° What angle does the side of the hill make with the horizontal? 5. Points A and B are separated by an obstacle. In order to find the distance between them, a third point C is selected which is 120 yards from A and 150 yards from B. The angle ACB is measured to be 80° 10'. Find the distance from A to B. 6. Two circles, whose radii are 12 inches and 16 inches respectively, intersect. The angle between the tangents at either of the points of intersection is 20° 30'. Find the distance between the centers of the circle.

Trigonometry (MindTap Course List)
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Chapter1: Trigonometry
Section1.8: Applications And Models
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SOLID MENSURATION I 4. A tower 125 feet high stands on the side of a hill. At the point 240 feet from the foot of the tower, measured straight down the hill, the tower subtends an angle of 25° What angle does the side of the hill make with the horizontal? 5. Points A and B are separated by an obstacle. In order to find the distance between them, a third point C is selected which is 120 yards from A and 150 yards from B. The angle ACB is measured to be 80° 10'. Find the distance from A to B. 6. Two circles, whose radii are 12 inches and 16 inches respectively, intersect. The angle between the tangents at either of the points of intersection is 20° 30'. Find the distance between the centers of the circle.
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