Find the tangent of ZC. E C 33 65 010 56 D Simplify your answer and write it as a proper fraction, improper fraction, or whole number. tan (C) =

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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**Trigonometric Ratios: Understanding Tangent**

To find the tangent of an angle in a right triangle, use the ratio of the opposite side to the adjacent side.

**Problem**

Find the tangent of ∠C.

**Triangle Details:**
- Triangle ECD is a right triangle.
- ∠E is a right angle.
- Side lengths:
  - CE = 33
  - CD = 56

**Question**

Calculate tan(C) using the formula:
\[ \tan(C) = \frac{\text{opposite side}}{\text{adjacent side}} \]

In this triangle:
- The opposite side to ∠C is CE = 33.
- The adjacent side to ∠C is CD = 56.

**Equation**

\[ \tan(C) = \frac{33}{56} \]

**Simplify your answer** and express it as a proper fraction, improper fraction, or whole number.

Once ready, input your answer and click "Submit" to check your work.
Transcribed Image Text:**Trigonometric Ratios: Understanding Tangent** To find the tangent of an angle in a right triangle, use the ratio of the opposite side to the adjacent side. **Problem** Find the tangent of ∠C. **Triangle Details:** - Triangle ECD is a right triangle. - ∠E is a right angle. - Side lengths: - CE = 33 - CD = 56 **Question** Calculate tan(C) using the formula: \[ \tan(C) = \frac{\text{opposite side}}{\text{adjacent side}} \] In this triangle: - The opposite side to ∠C is CE = 33. - The adjacent side to ∠C is CD = 56. **Equation** \[ \tan(C) = \frac{33}{56} \] **Simplify your answer** and express it as a proper fraction, improper fraction, or whole number. Once ready, input your answer and click "Submit" to check your work.
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