   Chapter 11.3, Problem 3E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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 triangle is shown below.

Definition used:

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

Calculation:

In a right triangle, (hypotenuse)2=(opposite)2+(adjacent)2

Let x be the unknown side in the given figure.

(6)2=x2+4236=x2+163616=x220=x220=x25=x

Therefore, the unknown side is x=25

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