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Concept explainers
(a)
To find: the measure of the side WX of the given
(a)
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Answer to Problem 20CR
The measure of side WX is 117 units
Explanation of Solution
Given information:
A right triangle with a given measure of other
Formula used:
In a right triangle the sine of the angle is the ratio of the measure of side opposite to the angle to the hypotenuse.
It can be expressed as,
Calculation:
Based on the figure, the relation between the hypotenuse WX and the altitude can be expressed as,
Now, with the use of the table of trigonometric values in Page 311 in the textbook,
(b)
To find: the measure of the side VX of the given triangle WVX
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 20CR
The measure of side VX is 90 units
Explanation of Solution
Given information:
A right triangle with a given measure of other angles and one side
Formula used:
In a right triangle the sine of the angle is the ratio of the measure of side opposite to the angle to the hypotenuse.
It can be expressed as,
Calculation:
Based on the figure, the relation between the hypotenuse WX and VX (marked as x) can be expressed as,
Now, substituting the value of hypotenuse and with the use of the table of trigonometric values in Page 311 in the textbook,
Chapter 8 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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