Solve the Problem $A$ And $B$ Are on Opposite Sides of a Building

question 14

Multiple Choice

Solve the problem.
-Two points $A$ and $B$ are on opposite sides of a building. A surveyor selects a third point $C$ to place a transit. Point $\mathrm { C }$ is 52 feet from point $\mathrm { A }$ and 68 feet from point $\mathrm { B }$ . The angle $\mathrm { ACB }$ is $53 ^ { \circ }$ . How far apart are points $\mathrm { A }$ and B?

• A) \(97.2 \mathrm { ft }\)
• B) \(107.6 \mathrm { ft }\)
• C) \(72.1 \mathrm { ft }\)
• D) \(55.4 \mathrm { ft }\)

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Definitions:

Derivative Action

In control systems, a component of a PID controller that predicts system behavior and acts proportionally to the rate of change of the error signal.

Error Signal

A feedback signal indicating a discrepancy between the desired and actual performance of a system.

Proportional Bandwidth

In control systems, a parameter that determines the range over which the output is modified in proportion to the error or difference from a set point.

Time Proportioning Control

This control method adjusts the duty cycle of an output to regulate a process variable, commonly used in temperature control systems.