question 1. This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to the nearest whole number.) a = 35 ft, b = 89 ft

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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question 1. This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to the nearest whole number.)

a = 35 ft, b = 89 ft
 
 
question 2. The circle in the figure below has a radius of r and center at C. The distance from A to B is x. Redraw the figure below, label as indicated in the problem, and then solve the problem.

If A = 27° and r = 16, find x. (Round your answer to the nearest whole number.)
 
 
Question 3.A soccer field has a rectangular penalty area that measures 126 feet by 53 feet. The goal is 24 feet wide and centered along the back of the penalty area. Assume the goalkeeper can block a shot 6 feet to either side of their position for a total coverage of 12 feet.

A penalty kick is taken from a corner of the penalty area at position A (see the figure below). The goalkeeper stands in the center of the goal and can thus block a shot anywhere along segment CD. To score, the shooter must kick the ball within the angle CAE or angle DAF. Find the sum of these two angles to the nearest tenth of a degree. Assume a = 51 feet and b = 53 feet.
 
 
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