A submarine dives as shown in the diagram. To the nearest degree, detemine the dive angle whose measure is x. Enter your answer in the box. sea level Begin dive. 125 ft End dive. 500 ft
A submarine dives as shown in the diagram. To the nearest degree, detemine the dive angle whose measure is x. Enter your answer in the box. sea level Begin dive. 125 ft End dive. 500 ft
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![### Geometry CP-H Final Exam 2020-2021: Section 2 - Calculator
#### Question: 2-2
---
**Problem Statement:**
A submarine dives as shown in the diagram. To the nearest degree, determine the dive angle whose measure is x. Enter your answer in the box.
---
**Diagram Description:**
- The diagram depicts the path of a submarine diving below sea level.
- **Sea Level:** An imaginary horizontal line at the top, representing the water surface.
- **Begin Dive:** A labeled point where the submarine starts diving. It is positioned at sea level.
- **End Dive:** A labeled point where the submarine ends up after diving. This point is 125 feet below sea level and horizontally 500 feet away from the beginning point.
- A right triangle is formed by the dive trajectory, the horizontal distance (500 feet), and the vertical distance (125 feet).
The main components in the diagram include:
- A horizontal line representing sea level.
- A diagonal line representing the submarine's path from the "Begin Dive" point to the "End Dive" point.
- A horizontal distance (adjacent to the angle x) labeled as **500 ft**.
- A vertical distance (opposite to the angle x) labeled as **125 ft**.
The dive angle in question (x°) is the angle between the path of the dive and the horizontal sea level line.
---
**How to Solve:**
To find the angle x, use the tangent function which relates the opposite side (vertical distance) to the adjacent side (horizontal distance) in a right-angled triangle.
\[ \tan(x) = \frac{\text{opposite}}{\text{adjacent}} = \frac{125}{500} \]
\[ x = \tan^{-1}\left(\frac{125}{500}\right) \]
This calculation will result in the angle x in degrees.
Enter your answer to the nearest degree.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8d11063-2bda-4ec0-87e2-714d5471412b%2F794c1a53-cc6b-4098-a957-6eb0327b039f%2F6gmqyao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Geometry CP-H Final Exam 2020-2021: Section 2 - Calculator
#### Question: 2-2
---
**Problem Statement:**
A submarine dives as shown in the diagram. To the nearest degree, determine the dive angle whose measure is x. Enter your answer in the box.
---
**Diagram Description:**
- The diagram depicts the path of a submarine diving below sea level.
- **Sea Level:** An imaginary horizontal line at the top, representing the water surface.
- **Begin Dive:** A labeled point where the submarine starts diving. It is positioned at sea level.
- **End Dive:** A labeled point where the submarine ends up after diving. This point is 125 feet below sea level and horizontally 500 feet away from the beginning point.
- A right triangle is formed by the dive trajectory, the horizontal distance (500 feet), and the vertical distance (125 feet).
The main components in the diagram include:
- A horizontal line representing sea level.
- A diagonal line representing the submarine's path from the "Begin Dive" point to the "End Dive" point.
- A horizontal distance (adjacent to the angle x) labeled as **500 ft**.
- A vertical distance (opposite to the angle x) labeled as **125 ft**.
The dive angle in question (x°) is the angle between the path of the dive and the horizontal sea level line.
---
**How to Solve:**
To find the angle x, use the tangent function which relates the opposite side (vertical distance) to the adjacent side (horizontal distance) in a right-angled triangle.
\[ \tan(x) = \frac{\text{opposite}}{\text{adjacent}} = \frac{125}{500} \]
\[ x = \tan^{-1}\left(\frac{125}{500}\right) \]
This calculation will result in the angle x in degrees.
Enter your answer to the nearest degree.
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