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EXAMPLE 3

EXAMPLE 3. Standardized Test Practice. EXAMPLE 3. Standardized Test Practice. SOLUTION.

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EXAMPLE 3

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  1. EXAMPLE 3 Standardized Test Practice

  2. EXAMPLE 3 Standardized Test Practice SOLUTION The flagpole and the woman form sides of two right triangles with the ground, as shown below. The sun’s rays hit the flagpole and the woman at the same angle. You have two pairs of congruent angles, so the triangles are similar by the AA Similarity Postulate.

  3. 50 ft x ft = 40 in. 64 in. ANSWER The flagpole is 80 feet tall. The correct answer is C. EXAMPLE 3 Standardized Test Practice You can use a proportion to find the height x. Write 5 feet 4 inches as 64 inches so that you can form two ratios of feet to inches. Write proportion of side lengths. 40x = 64(50) Cross Products Property x = 80 Solve for x.

  4. 4. What If ? Achild who is 58 inches tall is standing next to the woman in Example 3. How long is the child’s shadow? 80 58 in. x 50 ft. for Example 3 GUIDED PRACTICE

  5. 80 58 = 50 x 80x = 58 50 for Example 3 GUIDED PRACTICE SOLUTION The flagpole and the child next to the women form sides of two right triangles with the ground, here, there are two pairs of congruent angles, so the triangles are similar by the AA similarity postulate. You can use a proportion to find the length of the shadow (x). Write proportion of side length Cross product property x = 36.25 Solve forx

  6. ANSWER The length of the shadow is 36.25in. long. for Example 3 GUIDED PRACTICE

  7. 5. You are standing in your backyard, and you measure the lengths of the shadows cast by both you and a tree. Write a proportion showing how you could find the height of the tree. Length of shadow Tree height = Length of your shadow Your height for Example 3 GUIDED PRACTICE SOLUTION

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