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Use ratios to make indirect measurements. Use scale drawings to solve problems.

Learn how to use ratios for indirect measurements and scale drawings to solve problems and make accurate calculations. Practice examples included to enhance understanding.

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Use ratios to make indirect measurements. Use scale drawings to solve problems.

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  1. Objectives Use ratios to make indirect measurements. Use scale drawings to solve problems.

  2. Vocabulary indirect measurement scale drawing scale

  3. __________________– any method that uses formulas, similar figures, and/or proportions to measure an object. The following example shows one indirect measurement technique.

  4. Helpful Hint Whenever dimensions are given in both feet and inches, you must convert them to either feet or inches before doing any calculations. Example 1: Measurement Application Tyler wants to find the height of a telephone pole. He measured the pole’s shadow and his own shadow and then made a diagram. What is the height h of the pole?

  5. Example 1 Continued Step 1 Convert the measurements to inches. Step 2 Find similar triangles. Step 3 Find h.

  6. Remember! A proportion may compare measurements that have different units. _____________– represents an object as smaller than or larger than its actual size. ________ – is the ratio of any length in the drawing to the corresponding actual length. For example, on a map with a scale of 1 cm : 1500 m, one centimeter on the map represents 1500 m in actual distance.

  7. Example 2 Find the actual distance between City Hall and El Centro College.

  8. Example 3: Making a Scale Drawing Lady Liberty holds a tablet in her left hand. The tablet is 7.19 m long and 4.14 m wide. If you made a scale drawing using the scale 1 cm:0.75 m, what would be the dimensions to the nearest tenth?

  9. Example 4: Using Ratios to Find Perimeters and Areas Given that ∆LMN:∆QRT, find the perimeter P and area A of ∆QRS.

  10. Example 4 Continued Perimeter Area

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