An airplane is approaching Los Angeles International Airport at an altitude of b feet. If the horizontal distance from the plane to the runway is a miles, use the Pythagorean Theorem to find the diagonal distance from the plane to the runway. Assume a=1.6, b=6,336. (5,280 feet equals 1 mile.) **Right Triangle Representation in Aviation**In the image, we see an illustration of a right triangle that is often used in the context of aviation to understand certain aspects of an aircraft's flight. The triangle is formed by:1. **The horizontal side (base)** denoted as $a$, which represents the distance along the ground.2. **The vertical side (height)** denoted as $b$, which represents the altitude or height of the aircraft above the ground.3. **The hypotenuse** (the longest side), which forms the angle with the ground, shown in red, representing the actual path or distance the aircraft covers as it ascends or descends.The small square in the corner signifies a right angle (90 degrees) between the base $a$ and the height $b$, confirming it's a right triangle. Understanding this geometric relationship is crucial for pilots and aviation professionals in calculating various parameters such as the angle of climb, descent angle, and distance traveled using trigonometric functions.

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Answered: An airplane is approaching Los Angeles…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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An airplane is approaching Los Angeles International Airport at an altitude of b feet. If the horizontal distance from the plane to the runway is a miles, use the Pythagorean Theorem to find the diagonal distance from the plane to the runway. Assume a=1.6, b=6,336. (5,280 feet equals 1 mile.)

**Right Triangle Representation in Aviation**

In the image, we see an illustration of a right triangle that is often used in the context of aviation to understand certain aspects of an aircraft's flight. The triangle is formed by:

1. **The horizontal side (base)** denoted as $a$, which represents the distance along the ground.
2. **The vertical side (height)** denoted as $b$, which represents the altitude or height of the aircraft above the ground.
3. **The hypotenuse** (the longest side), which forms the angle with the ground, shown in red, representing the actual path or distance the aircraft covers as it ascends or descends.

The small square in the corner signifies a right angle (90 degrees) between the base $a$ and the height $b$, confirming it's a right triangle.

Understanding this geometric relationship is crucial for pilots and aviation professionals in calculating various parameters such as the angle of climb, descent angle, and distance traveled using trigonometric functions.

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