Solve Apps: Trigonometric Equations
-The Range $\mathrm { r }$ Of a Projectile Is Given By

question 194

Multiple Choice

Solve Apps: Trigonometric Equations
-The range $\mathrm { r }$ of a projectile is given by $\mathrm { r } = \frac { 1 } { 32 } \mathrm { v } ^ { 2 } \sin 2 \theta$ , where $\mathrm { v }$ is the initial velocity and $\theta$ is the angle of elevation. If $r$ is to be $9000 \mathrm { ft }$ and $\mathrm { v } = 5000 \mathrm { ft } / \mathrm { sec }$ , what must the angle of elevation be? Give your answer in degrees to the nearest hundredth.

• A) \(0.33 ^ { \circ }\)
• B) \(89.67 ^ { \circ }\)
• C) \(0.66 ^ { \circ }\)
• D) \(0.46 ^ { \circ }\)

---

Definitions:

Market Equilibrium

A condition in which market supply and demand balance each other, and as a result, prices become stable.

Competitive Industry

A competitive industry is one where numerous producers compete with each other to satisfy the needs and wants of consumers, characterized by free entry and exit and a high level of innovation.

Market Demand

The total quantity of a good or service that consumers are willing and able to purchase at various prices during a specific time period.

Market Equilibrium

A condition in a market where supply equals demand, resulting in stable prices that neither increase nor decrease.