1. Copyright © 2008 Pearson Education, Inc. Slide 9-1 Unit 10B Problem Solving with Geometry

2. Copyright © 2008 Pearson Education, Inc. Slide 9-2 Angular Size and Distance The farther away an object is located from you, the smaller it will appear in angular size. 10-B

3. Exercises #47 page 632 #49 page 632

4. Pitch, Grade, and Slope Pitch of 2 in 20 Slope Grade is slope as a percentage

5. Copyright © 2008 Pearson Education, Inc. Slide 9-5 Try this one! 10-B If a road has a grade of 4%, what is the pitch of the road? a) 25 to 1 b) 1 to 25 c) 4 to 1 d) 1 to 4

6. Copyright © 2008 Pearson Education, Inc. Slide 9-6 Problem Solving with Geometry 10-B If a road has a grade of 4%, what is the pitch of the road? a) 25 to 1 b) 1 to 25 c) 4 to 1 d) 1 to 4

7. Copyright © 2008 Pearson Education, Inc. Slide 9-7 Pythagorean Theorem The Pythagorean theorem applies only to right triangles (those with one 90  angle). For a right triangle with side lengths a, b, and c, in which c is the longest side (or hypotenuse), the Pythagorean theorem states that a 2 + b 2 = c 2 10-B a b c

8. Copyright © 2008 Pearson Education, Inc. Slide 9-8 Problem Solving with Geometry 10-B Refer to the triangle below to find x. a) b) c) d) 7 5 x

9. Copyright © 2008 Pearson Education, Inc. Slide 9-9 Problem Solving with Geometry 10-B Refer to the triangle below to find x. a) b) c) d) 7 5 x

10. Exercises #56 page 632 #60 page 633 #66 page 633 #68 page 633

11. Copyright © 2008 Pearson Education, Inc. Slide 9-11 Similar Triangles Two triangles are similar if they have the same shape, but not necessarily the same size, meaning that one is a scaled-up or scaled-down version of the other. 10-B

12. Copyright © 2008 Pearson Education, Inc. Slide 9-12 Similar Triangles 10-B  Corresponding pairs of angles in each triangle are equal.  The ratios of the side lengths in the two triangles are all equal.

13. Exercises Land Use Policy: On the shortest day of the year, a house cannot cast a noontime shadow that reaches farther than the shadow that would be cast by a 12-foot fence on the property line. #80 page 634