You are installing an infrared security scanning device in the comer of a living room 8 inches below the ceiling. You need to set the scan angle on the scanning device so that it will scan from one corner of the room to the opposite corner of the room. The room measures 20 feet long, 12 feet wide and is 10 feet tall. It is your job to figure out the angle 0 that the device should be set to scan. 10 12 20

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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I would like to know how to do this question. I was thinking I could make one big triangle with the lengths I was given, but I'm not sure. Any help is appreciated. 

You are installing an infrared security scanning device in the comer of a living room 8 inches below the
ceiling. You need to set the scan angle on the scanning device so that it will scan from one corner of the
room to the opposite corner of the room. The room measures 20 feet long, 12 feet wide and is 10 feet tall.
It is your job to figure out the angle 0 that the device should be set to scan.
10
12
20
Transcribed Image Text:You are installing an infrared security scanning device in the comer of a living room 8 inches below the ceiling. You need to set the scan angle on the scanning device so that it will scan from one corner of the room to the opposite corner of the room. The room measures 20 feet long, 12 feet wide and is 10 feet tall. It is your job to figure out the angle 0 that the device should be set to scan. 10 12 20
Expert Solution
Step 1

To determine the angle that the camera should scan.

Step 2

Given:

Trigonometry homework question answer, step 2, image 1

Step 3

The diagonal of each face is the side length of the triangle formed with angle theta.

Trigonometry homework question answer, step 3, image 1

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