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

question 415

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.
-The range $\mathrm { r }$ of a projectile is given by
$$r = \frac { 1 } { 32 } v ^ { 2 } \sin 2 \theta \text {, }$$
where $\mathrm { v }$ is the initial velocity and $\theta$ is the angle of elevation. If $\mathrm { r }$ is to be $3000 \mathrm { ft }$ and $\mathrm { v } = 4000 \mathrm { ft } / \mathrm { sec }$ , what must the angle of elevation be? Give your answer in degrees to the nearest hundredth.

• A) \(0.24 ^ { \circ }\)
• B) \(89.83 ^ { \circ }\)
• C) \(0.34 ^ { \circ }\)
• D) \(0.17 ^ { \circ }\)

---

Definitions:

Self

The individual's perception of their own identity, qualities, and abilities.

Carl Rogers

An influential American psychologist who founded client-centered therapy and emphasized the importance of a supportive therapeutic environment for growth and healing.

Ego Identity

A sense of self developed through personal experience, social interactions, and reflections on those experiences.

Observational Learning

Learning that occurs through observing the behavior of others and the outcomes of those behaviors.