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8) Find the value of x. [I]). 16 30/30 30%

8) Find the value of x. [I]). 16 30/30 30%

Trigonometry (11th Edition)
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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### Problem Statement 8) Find the value of \( x \). ### Diagram Explanation The diagram represents a geometric figure composed of three right triangles arranged adjacent to each other. - Each triangle has a right angle. - All three triangles share a common point at one vertex, and the non-right angles of each triangle are given as \( 30^\circ \), forming a continuous angle through all the triangles. - One side of the smallest triangle is labeled as 16 units, which is likely representing the side opposite the 30° angle in a 30-60-90 triangle. - The longest side of the largest triangle is labeled \( x \), which is the side opposite the right angle of the largest triangle. ### Objective The task is to find the value of \( x \) using the information provided in the diagram, specifically applying properties of 30-60-90 triangles. A 30-60-90 triangle has side length ratios of 1 (shortest side) : \(\sqrt{3}\) : 2 (hypotenuse).
Transcribed Image Text:### Problem Statement 8) Find the value of \( x \). ### Diagram Explanation The diagram represents a geometric figure composed of three right triangles arranged adjacent to each other. - Each triangle has a right angle. - All three triangles share a common point at one vertex, and the non-right angles of each triangle are given as \( 30^\circ \), forming a continuous angle through all the triangles. - One side of the smallest triangle is labeled as 16 units, which is likely representing the side opposite the 30° angle in a 30-60-90 triangle. - The longest side of the largest triangle is labeled \( x \), which is the side opposite the right angle of the largest triangle. ### Objective The task is to find the value of \( x \) using the information provided in the diagram, specifically applying properties of 30-60-90 triangles. A 30-60-90 triangle has side length ratios of 1 (shortest side) : \(\sqrt{3}\) : 2 (hypotenuse).
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