The El Toro woodeh noller coaster at SN Faos Gle AHvertureIA NEW DerseEN has a makimumvertidaal diop pr 176 feet above the ground Kavier was standing 309 Faet foom theldase of Eorb maximunldrop wiete his liie br sight is 4.5 feet above the ground tahe neartest tenth af a dbereewhatis the ande pi elevation tromKavier to the top of the rolller coaster? Maximum Heigh Xavier Base of El Toro A 29.7 30.3 C 12.8" 29.0 B.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
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Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![### Problem Statement
The El Toro wooden roller coaster at Six Flags Great Adventure in New Jersey has a maximum vertical drop of 176 feet above the ground. Xavier was standing 300 feet from the base of El Toro's maximum drop. He has a line of sight that is 4.5 feet above the ground. To the nearest tenth of a degree, what is the angle of elevation from Xavier to the top of the roller coaster?
### Explanation of Diagram
The diagram accompanying the problem statement is a right triangle.
- One vertex, labeled "Xavier," is at 4.5 feet above the ground and 300 feet horizontally from the base of the roller coaster.
- The base of the triangle, labeled as "Base of El Toro," measures 300 feet horizontally.
- The height of the triangle, labeled "Maximum Height," adds the maximum vertical drop of the roller coaster (176 feet) and the height of Xavier's line of sight (4.5 feet), summing to 171.5 feet.
- The hypotenuse represents the line of sight from Xavier to the top of the roller coaster.
### Options
- A: 29.7°
- B: 30.3°
- C: 12.8°
- D: 29.0°
### Calculation
To find the angle of elevation, we use the tangent function from trigonometry:
\[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} \]
Where:
- The opposite side is 171.5 feet (height difference).
- The adjacent side is 300 feet (horizontal distance).
Based on this information:
\[ \tan(\theta) = \frac{171.5}{300} \]
\[ \theta = \tan^{-1} \left( \frac{171.5}{300} \right) \]
\[ \theta \approx 29.7° \]
### Answer
The correct answer is A: 29.7°.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5f08608-4dee-45a3-a671-623a618d30aa%2F53611a41-fe43-4b7e-8782-ea84f05e8d8c%2F7clvpk_processed.jpeg&w=3840&q=75)
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