College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Problem: Solve for \( x \)**
There is a right triangle shown with:
- One angle labeled \( 45^\circ \).
- The side opposite the \( 45^\circ \) angle is labeled \( x \).
- The adjacent side (next to the \( 45^\circ \) angle and opposite the right angle) is labeled \( 12 \).
To solve for \( x \), you can use trigonometric ratios. Utilize the tangent function for this configuration:
\[
\tan(45^\circ) = \frac{\text{opposite}}{\text{adjacent}} = \frac{x}{12}
\]
Since \(\tan(45^\circ) = 1\), the equation becomes:
\[
1 = \frac{x}{12}
\]
Solving for \( x \), we multiply both sides by 12:
\[
x = 12
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc760f331-1bd4-4b33-b6d2-ac26f1dcca1f%2F17c204c4-7ef0-4cac-9ece-1cadca3a89fa%2Fg3tzkx5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem: Solve for \( x \)**
There is a right triangle shown with:
- One angle labeled \( 45^\circ \).
- The side opposite the \( 45^\circ \) angle is labeled \( x \).
- The adjacent side (next to the \( 45^\circ \) angle and opposite the right angle) is labeled \( 12 \).
To solve for \( x \), you can use trigonometric ratios. Utilize the tangent function for this configuration:
\[
\tan(45^\circ) = \frac{\text{opposite}}{\text{adjacent}} = \frac{x}{12}
\]
Since \(\tan(45^\circ) = 1\), the equation becomes:
\[
1 = \frac{x}{12}
\]
Solving for \( x \), we multiply both sides by 12:
\[
x = 12
\]
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