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Find the value of the missing angle for the following oblique triangle. a = 123 in., A = 67.7°, B = 54.2° 22.3⁰ 125.8° 58.1° 112.3

Find the value of the missing angle for the following oblique triangle. a = 123 in., A = 67.7°, B = 54.2° 22.3⁰ 125.8° 58.1° 112.3

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem: Find the value of the missing angle for the following oblique triangle.** Given: - Side \( a = 123 \) in - Angle \( A = 67.7^\circ \) - Angle \( B = 54.2^\circ \) **Options:** - \( 22.3^\circ \) - \( 125.8^\circ \) - \( 58.1^\circ \) - \( 112.3^\circ \) To solve this, use the fact that the sum of the angles in any triangle is always \( 180^\circ \). **Solution:** 1. Sum of the given angles \( A \) and \( B \): \[ 67.7^\circ + 54.2^\circ = 121.9^\circ \] 2. Subtract the sum from \( 180^\circ \) to find the missing angle \( C \): \[ 180^\circ - 121.9^\circ = 58.1^\circ \] The correct answer is: - \( 58.1^\circ \)
Transcribed Image Text:**Problem: Find the value of the missing angle for the following oblique triangle.** Given: - Side \( a = 123 \) in - Angle \( A = 67.7^\circ \) - Angle \( B = 54.2^\circ \) **Options:** - \( 22.3^\circ \) - \( 125.8^\circ \) - \( 58.1^\circ \) - \( 112.3^\circ \) To solve this, use the fact that the sum of the angles in any triangle is always \( 180^\circ \). **Solution:** 1. Sum of the given angles \( A \) and \( B \): \[ 67.7^\circ + 54.2^\circ = 121.9^\circ \] 2. Subtract the sum from \( 180^\circ \) to find the missing angle \( C \): \[ 180^\circ - 121.9^\circ = 58.1^\circ \] The correct answer is: - \( 58.1^\circ \)
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