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 =
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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Question
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 | = |
|

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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