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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 11.3, Problem 17E
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Elementary Geometry for College St...

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

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 15 to 20, use the sine, cosine, or tangent ratio to find the lengths of the indicated sides to the nearest tenth of a unit.

Chapter 11.3, Problem 17E, In Exercises 15 to 20, use the sine, cosine, or tangent ratio to find the lengths of the indicated

To determine

To find:

The lengths of the indicated sides to the nearest tenth of a unit using the sine, cosine or tangent ratio.

Explanation

Given:

The triangle with the indicated sides is shown below.

Definition used:

The trigonometric ratios:

sinα=oppositehypotenuse
cosα=adjacenthypotenuse
tanα=oppositeadjacent

Calculation:

Let α=58∘.

From the figure we see that opposite=z,adjacent=y,hypotenuse=10.

We need to find the values of z, y.

We have sinα=oppositehypotenuse

sin58∘=z10

We have cosα=adjacenthypotenuse

cos58∘=y10

Let us use Ti-83 calculator to find the value of sin58∘,cos58∘.

Press ON in Ti-83 calculator.

Since we need to find the value of degree, we need to change the mode to degrees.

Press MODE button and use arrow keys to select the “Degree” mode.

Let us find the values, correct to four decimal places.

Since we need the values of sin58∘,cos58∘ correct to four decimal places, in MODE, using arrow keys choose the value of “Float” as 4

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Chapter 11.3,
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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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