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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 11.CR, Problem 7CR
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 5 to 8, state the ratio needed, and use it to find the measure of the indicated angle to the nearest degree.

Chapter 11.CR, Problem 7CR, In Exercises 5 to 8, state the ratio needed, and use it to find the measure of the indicated angle

To determine

To find:

The measure of the angle indicated to the nearest degree.

Explanation

Procedure used:

In any right triangle ABC with m∠A=θ we have the following ratios.

sin⁡θ=OppositeHypotenuse

cos⁡θ=AdjacentHypotenuse

tan⁡θ=OppositeAdjacent

Calculation:

Given:

The above given figure is a rhombus.

By the properties of a rhombus, all of its sides are equal in length, the diagonals intersect each other at right angle and each of the diagonal bisect the angle at the vertices, we have

AB=BC=CD=DA=12 cm,

m∠AOB=∠BOC=∠COD=∠DOA=90°, and

m∠ABO=m∠CBO=α

Here, ‘O’ is the point of intersection of the diagonals AC and BD

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Sect-11.1 P-1ESect-11.1 P-2ESect-11.1 P-3ESect-11.1 P-4ESect-11.1 P-5ESect-11.1 P-6ESect-11.1 P-7ESect-11.1 P-8ESect-11.1 P-9ESect-11.1 P-10E
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