Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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find the correct equation to solve for m 
![**Problem Statement:**
Find the correct equation to solve for \( m \).
**Diagram Explanation:**
There is a right triangle drawn on graph paper. The triangle has:
- One right angle.
- A side labeled \( m \) (opposite to the given angle).
- A side labeled 35 (adjacent to the given angle).
- An angle of 50° opposite the side labeled \( m \).
**Objective:**
Use trigonometry to find the correct equation to solve for the length of side \( m \) in the right triangle. To find \( m \), consider using the tangent of the known angle because the tangent function relates the opposite and adjacent sides.
**Equation:**
\[
\tan(50^\circ) = \frac{m}{35}
\]
Rearrange the equation to solve for \( m \):
\[
m = 35 \times \tan(50^\circ)
\]
This equation will allow you to calculate the value of \( m \) using the tangent function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faac6dbee-0fa3-4cab-9895-bede2017bf0f%2F4866c7f0-60e8-4926-bb75-a0b98cd9114b%2Fhkcnmri_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the correct equation to solve for \( m \).
**Diagram Explanation:**
There is a right triangle drawn on graph paper. The triangle has:
- One right angle.
- A side labeled \( m \) (opposite to the given angle).
- A side labeled 35 (adjacent to the given angle).
- An angle of 50° opposite the side labeled \( m \).
**Objective:**
Use trigonometry to find the correct equation to solve for the length of side \( m \) in the right triangle. To find \( m \), consider using the tangent of the known angle because the tangent function relates the opposite and adjacent sides.
**Equation:**
\[
\tan(50^\circ) = \frac{m}{35}
\]
Rearrange the equation to solve for \( m \):
\[
m = 35 \times \tan(50^\circ)
\]
This equation will allow you to calculate the value of \( m \) using the tangent function.
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