Solve the problem.A pier 1250 meters long extends at an angle from the shoreline. A surveyor walks to a point 1500 meters down the shoreline from the pier and measures the angle formed by the ends of the pier. If is found to be 53°. What acute angle (correct to the nearest tenth of a degree) does the pier form with the shoreline? Is there more than one possibility? If so, how can we know which is the correct one?
What will be an ideal response?
53.6° or 20.4°; yes; direct observation
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Solve the problem.Carole's car averages 14.7 miles per gallon in city driving and 22.3 miles per gallon in highway driving. If she drove a total of 347.2 miles on 20 gallons of gas, how many of the gallons were used for city driving?
A. 12 gallons B. 15 gallons C. 7 gallons D. 13 gallons
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log213 -5
A. 2log513 B. 13log25 C. -10 log 13 D. -5log213
Solve the problem. Round to two decimal places if needed.Find the area of the sector of a circle of radius 27.2 centimeters formed by a central angle of 
radians.
A. 464.86 square centimeters B. 73.98 square centimeters C. 8.55 square centimeters D. 232.43 square centimeters
Find a matrix A such that W = Col A.W = 
A. 
B. 
C. 
D. 