   Chapter 11.3, Problem 4E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 1 to 4, find tan α and tan β for each triangle. To determine

To find:

The values of tanα and tanβ for the triangle.

Explanation

Given:

The rectangle is shown below.

Definition used:

In a right triangle, the tangent ratio for an acute angle is the ratio oppositeadjacent.

Calculation:

From the figure we see that the rectangle is divided into two right triangles.

Consider the right triangle DCB.

Therefore we have BD=7,BC=3. Let DC=x.

(BD)2=(BC)2+(DC)2(7)2=(3)2+x27=3+x273=x24=x24=x2=x

Thus CD=2

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