Solve the Equation for Solutions Over the Interval [0 $[ 0,2 \pi )$

question 252

Multiple Choice

Solve the equation for solutions over the interval [0, $[ 0,2 \pi )$ ) . Write solutions as exact values or to four decimal places, as
appropriate.
-It can be shown that if the angle of elevation from an observer to the top of an object is $\mathrm { A }$ and the an: elevation $\mathrm { d } \mathrm { ft }$ closer is $\mathrm { B }$ , then the distance from the object to the closest point of observation is given $\mathrm { D } = \frac { \mathrm { d } \cot \mathrm { B } } { \cot \mathrm { A } - \cot \mathrm { B } } \mathrm { ft }$ .
Find $\mathrm { B }$ if $\mathrm { D } = 70 \mathrm { ft } , \mathrm { d } = 30 \mathrm { ft }$ , and $\mathrm { A } = 39 ^ { \circ }$ . Give your answer in degrees to the nearest hundredth.

• A) \(39.00 ^ { \circ }\)
• B) \(49.16 ^ { \circ }\)
• C) \(19.14 ^ { \circ }\)
• D) \(69.67 ^ { \circ }\) ngle of451)

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Definitions:

Acetylcholine

A neurotransmitter in the nervous system that plays an important role in muscle contraction and cognitive functions.

Agonist

is a substance that binds to a receptor and triggers a response in the body, often mimicking the action of a naturally occurring substance.

Excitatory Neurotransmitter

Chemical substances in the nervous system that increase the likelihood of firing the neuron to which they bind, promoting neural activity.

Limbic System

A complex set of brain structures located on both sides of the thalamus, immediately beneath the cerebrum, involved in various functions including emotions, behavior, and long-term memory.