Solve the problem.A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 90 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 55°. What is the distance between the piling and the pier to the nearest foot?

A. 74 ft
B. 129 ft
C. 63 ft
D. 52 ft


Answer: B

Mathematics

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Solve.A worker has readings that take  minute each to read and record. How many readings can be completed in 60 minutes?

A. 90 readings B. 20 readings C. 22 readings D. 40 readings

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Solve the equation. -  = 1

A. 3 B. -3, -1 C. 3, -1 D. No solution

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Find the amount of premium retained by the company and the amount of refund to the insured using proration.Annual premium: $1955Months in force: 7

A. $1140.42, $814.58 B. $977.50, $977.50 C. $1134.58, $820.42 D. $1303.33, $651.67

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Find the indicated probability.The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated as being either a good, fair, or poor manager by his/her boss. The manager's educational background was also noted. The data appear below:  Educational BackgroundIf a manager is selected at random, what is the probability that he or she is either a good manager or has an advanced degree? Give your answer as a fraction.

A.
B.
C.
D.

Mathematics