Using Similar Figures ABC is similar to DEF. Find the value of c. = COURSE 2 LESSON 5-6 ABC is similar to DEF. Find the value of c. = c 18 6 9 Write a proportion. Write the cross products. 9c = 18 • 6 Divide each side by 9. 9c 9 108 = Solve for c. c = 12 5-6

COURSE 2 LESSON 5-6 Using Similar Figures A 5-ft person standing near a tree has a shadow 12 ft long. At the same time, the tree has a shadow 42 ft long. What is the height of the tree? Draw a diagram like the one at the right. Let x represent the height of the tree. = x 5 42 12 Write a proportion. Write the cross products. 12x = 5 • 42 Divide each side by 12. 12x 12 5 • 42 = Simplify. x = 17 1 2 The height of the tree is 17 ft. 1 2 5-6

Using Similar Figures In the figure below, JKL ~ XYZ. COURSE 2 LESSON 5-6 In the figure below, JKL ~ XYZ. 1. Which angle besides K has measure 29°? 2. Find YZ. 3. A 4-ft-tall person standing near a telephone pole has a shadow 3 ft long. At the same time, the telephone pole has a shadow 18 ft long. What is the height of the telephone pole? Y 9 24 ft 5-6