assignment 2 control tower answer

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Answer key for APCSA Edhesive 2020 - learn from example, don't plagiarize.

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Ap computer science a 2020 (edhesive).

This repository is organized into the units and lessons inside them. You will also find the assignments but you will find no answers to any of the reviews, quizzes, or exams. Labs assigned by the College Board do NOT follow the uniform formatting and their directory is named after the actual name for ease of search outside of Edhesive users.

I will update this after my class is finished with one lesson. If you have any questions, comments, or additions, feel free to contact my Discord. Good luck!

Path format: [Unit#]/[Lesson#]/[Unit#][Lesson#][Question#].java

Unit 1: Primitive Types

Lessons 1-6

Assignment 1: Movie Ratings

Unit 2: Using Objects

Lessons 1-8

Assignment 2: Control Tower

Unit 3: Boolean Expressions and If Statements

Lessons 1-7

Assignment 3: Crack the Code!

Unit 4: Iteration

Assignment 4: String Shortener

Lab: Consumer Review

Unit 5: Writing Classes

Lessons 1-9

Assignment 5: Fraction

Unit 6: Array

Lessons 1-5

Assignment 6: Array Statistics

Unit 7: ArrayList

Assignment 7: Game Wheel

Lab: Data Lab

Unit 8: 2-D Arrays

Lessons 1-2

Assignment 8: Battleship

Lab: Steganography

Unit 9: Inheritance

Lessons 1-3

Assignment 9: Ultimate Frisbee

Lab: Celebrity

Unit 10: Recursion

Lessons 1-4

Assignment 10: Anagrams

Contributors 3

Java 100.0%

# Unit 2: Using Objects

# lesson 1: strings and class types, # lesson 2: escape sequences and string concatenation, # lesson 3: string methods, # lesson 4: classes and objects, # lesson 5: using constructors, # lesson 6: using methods, # lesson 7: wrapper classes, # lesson 8: math functions, # assignment 2: control tower.

High School

In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plane is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2500 m, climbing at

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The distance between the planes is approximately 644.00 meters at the moment the air traffic controller makes a note about their positions.

For Boeing 747 it is given that:

Altitude : 2500 m

Climbing at 10° above the horizontal and moving 30° north of west.

We can break down the Boeing's motion into components:

1. Horizontal component (x-coordinate):

$x_{\text{Boeing}} = 2500 \tan(10^\circ) \cos(30^\circ)$

2. Vertical component (y-coordinate):

$y_{\text{Boeing}} = 2500 \tan(10^\circ) \sin(30^\circ)$

3. Westward motion (z- coordinate ):

$z_{\text{Boeing}} = -2500 \tan(10^\circ)$

So, the position vector of the Boeing 747 relative to the control tower is:

$\vec{r}_{\text{Boeing}} = (x_{\text{Boeing}}, y_{\text{Boeing}}, z_{\text{Boeing}})$

Now let's calculate the values :

$x_{\text{Boeing}} = 2500 \tan(10^\circ) \cos(30^\circ)\n\n \approx 405.51 \, \text{m}$

For Douglas DC -3:

Altitude: 3000 m

Climbing at 5° above the horizontal and moving directly west.

$x_{\text{DC-3}} = -3000 \tan(5^\circ)$

The westward motion does not affect the y-coordinate.

So, the position vector of the Douglas DC-3 relative to the control tower is:

$\vec{r}_{\text{DC-3}} = (x_{\text{DC-3}}, y_{\text{DC-3}}, 0)$

Calculating the values:

$x_{\text{DC-3}} = -3000 \tan(5^\circ)\n\n \approx -261.80 \, \text{m}$

Now, let's calculate the distance between the two planes using the Euclidean distance formula:

$d = \sqrt{(x_{\text{Boeing}} - x_{\text{DC-3}})^2 + (y_{\text{Boeing}} - y_{\text{DC-3}})^2 + (z_{\text{Boeing}} - 0)^2}$

Substituting the values and calculating:

$d \approx \sqrt{(405.51 \, \text{m} - (-261.80 \, \text{m}))^2 + (72.17 \, \text{m} - 267.95 \, \text{m})^2 + (-454.66 \, \text{m})^2}$

Thus, rounding the result to two decimal places: The distance between the planes is approximately 644.00 meters.

For more details regarding distance , visit:

brainly.com/question/34779919

Your question seems incomplete, the probable complete question is:

In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plane is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2500 m, climbing at 10°above the horizontal, and moving 30° north of west. The DC-3 is at an altitude of 3000 m, climbing at 5° above thehorizontal, and cruising directly west. (a) Find the position vectors of the planes relative to the control tower. (b) What is the distance between the planes at the moment the air traffic controller makes a note about their positions?

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