Referring to the figure below, find (in order) h, r, y, and x if s = 7 square root 3  (Note: s is the distance from A to D, and y is the distance from D to B.) h  =        r  =        y  =        x  =

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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Referring to the figure below, find (in order) hry, and x if s = 7 square root 3

 (Note: s is the distance from A to D, and y is the distance from D to B.)

h  = 
 
 
 
r  = 
 
 
 
y  = 
 
 
 
x  = 
 
 
 
The image contains a geometric diagram of a triangle, which is described and labeled as follows:

- The triangle is denoted as \( \triangle ABC \).
- Vertex \( A \) is at the left-bottom corner, vertex \( B \) is at the right-bottom corner, and vertex \( C \) is at the top.
- Angle \( \angle A \) at vertex \( A \) is \( 45^\circ \).
- Angle \( \angle B \) at vertex \( B \) is \( 60^\circ \).
- Angle \( \angle C \) at vertex \( C \) is \( 30^\circ \).

The sides are labeled as follows:
- Side \( AB \), connecting vertices \( A \) and \( B \), is divided into segments \( AD \) and \( DB \).
- \( AB \) is also labeled with \( s \) on segment \( AD \) and \( y \) on segment \( DB \).
- Side \( AC \), connecting vertices \( A \) and \( C \), is labeled as \( r \).
- Side \( BC \), connecting vertices \( B \) and \( C \), is labeled as \( x \).

An altitude \( CD \) is drawn from vertex \( C \) perpendicular to side \( AB \) at point \( D \), creating two right triangles, \( \triangle ADC \) and \( \triangle BDC \):
- The segment \( CD \) is labeled as the height \( h \).
- The right angle at \( D \) is indicated with a small square representing the \( 90^\circ \) angle.

The angles and segments inside the triangle:
- \( \angle ACD \) is labeled as \( 45^\circ \).
- The segment \( CD \) is perpendicular to \( AB \), creating \( 90^\circ \) angles at \( D \), within \( \triangle ADC \) and \( \triangle BDC \).
- Segment \( DB \) is labeled as \( y \).
- Segment \( AD \) is labeled as \( s \), and \( C \) perpendicular to \( AB \) at point D.
- The total length of segment \( AB \) includes both \( s \) and \( y \).

The triangle \( \triangle ABC \) is thus divided into two right triangles, which can be analyzed independently for various geometric properties and mathematical calculations, such as using the
Transcribed Image Text:The image contains a geometric diagram of a triangle, which is described and labeled as follows: - The triangle is denoted as \( \triangle ABC \). - Vertex \( A \) is at the left-bottom corner, vertex \( B \) is at the right-bottom corner, and vertex \( C \) is at the top. - Angle \( \angle A \) at vertex \( A \) is \( 45^\circ \). - Angle \( \angle B \) at vertex \( B \) is \( 60^\circ \). - Angle \( \angle C \) at vertex \( C \) is \( 30^\circ \). The sides are labeled as follows: - Side \( AB \), connecting vertices \( A \) and \( B \), is divided into segments \( AD \) and \( DB \). - \( AB \) is also labeled with \( s \) on segment \( AD \) and \( y \) on segment \( DB \). - Side \( AC \), connecting vertices \( A \) and \( C \), is labeled as \( r \). - Side \( BC \), connecting vertices \( B \) and \( C \), is labeled as \( x \). An altitude \( CD \) is drawn from vertex \( C \) perpendicular to side \( AB \) at point \( D \), creating two right triangles, \( \triangle ADC \) and \( \triangle BDC \): - The segment \( CD \) is labeled as the height \( h \). - The right angle at \( D \) is indicated with a small square representing the \( 90^\circ \) angle. The angles and segments inside the triangle: - \( \angle ACD \) is labeled as \( 45^\circ \). - The segment \( CD \) is perpendicular to \( AB \), creating \( 90^\circ \) angles at \( D \), within \( \triangle ADC \) and \( \triangle BDC \). - Segment \( DB \) is labeled as \( y \). - Segment \( AD \) is labeled as \( s \), and \( C \) perpendicular to \( AB \) at point D. - The total length of segment \( AB \) includes both \( s \) and \( y \). The triangle \( \triangle ABC \) is thus divided into two right triangles, which can be analyzed independently for various geometric properties and mathematical calculations, such as using the
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