# See Illustration 9. Deloney and Jackson Streets meet at a 45 ° angle. A lot extends 5 0 ¯ yards along Jackson and 4 0 ¯ yards along Deloney. Find the length of the back border. ILLUSTRATION 9

### Elementary Technical Mathematics

12th Edition
Dale Ewen
Publisher: Cengage Learning
ISBN: 9781337630580

Chapter
Section

### Elementary Technical Mathematics

12th Edition
Dale Ewen
Publisher: Cengage Learning
ISBN: 9781337630580
Chapter 14.5, Problem 27E
Textbook Problem
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## See Illustration 9. Deloney and Jackson Streets meet at a 45 ° angle. A lot extends 5 0 ¯ yards along Jackson and 4 0 ¯ yards along Deloney. Find the length of the back border.ILLUSTRATION 9

To determine

To calculate: The length of the back border when the meeting point of Jackson Streets and Deloney Streets is at 45° an angle. 50¯ yards extends a lot along Jackson and 40¯ yards extends along Deloney.

### Explanation of Solution

Given Information:

The provided figure is shown below;

Formula used:

The cosine law is,

c2=a2+b22abcosC

Where, a, b and c are the length. C is the angle between two points.

Calculation:

Consider the provided diagram;

Use the formula, c2=a2+b22abcosC to find side c.

c2=(40¯)2+

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