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SCULPTURE: The sculpture on the right is drawn on a graph where units are measured in inches. What is the approximate length of SR , the depth of a seat?. EXAMPLE 4. Find the distance between two parallel lines. 120 – 110. 10. 2. 110 – 80. 30. 3. –. –. =. =. =. =.
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SCULPTURE: The sculpture on the right is drawn on a graph where units are measured in inches. What is the approximate length of SR, the depth of a seat? EXAMPLE 4 Find the distance between two parallel lines
120 – 110 10 2 . 110 – 80 30 3 – – . = = = = SOLUTION 3 15 35 – 50 2 20 50 – 30 You need to find the length of a perpendicular segment from a back leg to a front leg on one side of the chair. Using the points P(30, 80) and R(50, 110), the slope of each leg is The segment SR has a slope of The segment SR is perpendicular to the leg so the distance SR is d = 18.0 inches. (35 –50)2 + (120 –110)2 The length of SR is about 18.0 inches. EXAMPLE 4 Find the distance between two parallel lines
Use the graph at the right for Exercises 5 and 6.5. What is the distance from point A to line c? 6. What is the distance from line c to line d? ANSWER 5. about 1.3 6.about 2.2 for Example 4 GUIDED PRACTICE
ANSWER (2, 3); 2.8 for Example 4 GUIDED PRACTICE 7. Graph the line y = x + 1. What point on the line is the shortest distance from the point (4, 1). What is the distance? Round to the nearest tenth.
