Solve the Problem $\mathrm { d } \mathrm { ft }$

question 28

Multiple Choice

Solve the problem.
-It can be shown that if the angle of elevation from an observer to the top of an object is A and the angle of elevation $\mathrm { d } \mathrm { ft }$ closer is $\mathrm { B }$ , then the distance from the object to the closest point of observation is given by
$$\mathrm { D } = \frac { \mathrm { d } \cot \mathrm { B } } { \cot \mathrm { A } - \cot \mathrm { B } } \mathrm { ft } \text {. }$$
Find $B$ if $D = 20 \mathrm { ft } , \mathrm { d } = 30 \mathrm { ft }$ , and $A = 51 ^ { \circ }$ . Give your answer in degrees to the nearest hundredth.

• A) \(51.00 ^ { \circ }\)
• B) \(64.09 ^ { \circ }\)
• C) \(72.05 ^ { \circ }\)
• D) \(61.64 ^ { \circ }\)

---

Definitions:

Discretionary Policy

This involves government policies, like fiscal and monetary policy decisions, that are deliberately formulated and applied in response to economic conditions to manage aggregate demand.

Economic Fluctuations

Variations in the level of economic activity in a country over a period of time, characterized by periods of boom and recession.

Fiscal Policy

The use of government spending and taxation levels to influence the economy, aiming at managing economic fluctuations, controlling inflation, and stimulating economic growth.

Tax Cut

A reduction in the amount of taxes imposed by a government, often aimed at stimulating economic growth or achieving political goals.