**Triangle Geometry Problem****Problem Statement:**Given a right triangle $ \triangle EGF $ with the following dimensions:- $ EF = 12 $ inches (opposite side of the right angle at E)- $ FG = 18.6 $ inches (hypotenuse)- $ x $ denotes the length of the adjacent side $ EG $**Visual Representation:**There is a right-angled triangle $ \triangle EGF $ where angle $ E $ is the right angle. The triangle is labeled with vertex $ E $ at the right angle, $ F $ at the other end of the base, and $ G $ at the top vertex. Each side has a given measurement:- $ EF = 12 $ in. is attached vertically to the right angle.- $ FG = 18.6 $ in. represents the hypotenuse.- $ EG $ is labeled as $ x $.**Question:**Which is the best approximation for the measure of angle $ EGF $?**Answer Choices:**- A) $ 32.8^\circ $- B) $ 40.2^\circ $- C) $ 49.8^\circ $- D) $ 57.2^\circ $

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Answered: Which is the best approximation for the…

Math

Geometry

Which is the best approximation for the measure of G 18.6 in. angle EGF? 32.8° 12 in. 40.2° E 49.8° 57.2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 44E

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Question

**Triangle Geometry Problem**

**Problem Statement:**

Given a right triangle $ \triangle EGF $ with the following dimensions:
- $ EF = 12 $ inches (opposite side of the right angle at E)
- $ FG = 18.6 $ inches (hypotenuse)
- $ x $ denotes the length of the adjacent side $ EG $

**Visual Representation:**

There is a right-angled triangle $ \triangle EGF $ where angle $ E $ is the right angle. The triangle is labeled with vertex $ E $ at the right angle, $ F $ at the other end of the base, and $ G $ at the top vertex. Each side has a given measurement:
- $ EF = 12 $ in. is attached vertically to the right angle.
- $ FG = 18.6 $ in. represents the hypotenuse.
- $ EG $ is labeled as $ x $.

**Question:**

Which is the best approximation for the measure of angle $ EGF $?

**Answer Choices:**
- A) $ 32.8^\circ $
- B) $ 40.2^\circ $
- C) $ 49.8^\circ $
- D) $ 57.2^\circ $

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