Lesson: Intermediate Problem Solving - 25t06

Practice: Using A Sketch

[Page 25 of 27]
Answer each question that follows. Draw a diagram or sketch if you feel that it would help your answer to be more accurate or quicker. Click Continue after you've selected your answer.

1. Routes X, Y, and Z intersect to form a triangle. If route X and route Y intersect at a 20 degree angle and if Z is perpendicular to route X, at what angle do streets Z and Y intersect?
  50 degrees 60 degrees 70 degrees
2. A length of string is knotted at and intervals. If the string is laid flat and horizontal, approximately what fraction of the string's length lies between the sixth and seventh knots from the left?
 
3. A circle with radius 4 is intersected by a single line at points X and Y. The maximum possible distance between X and Y is
  8 4 4
4. A rectangular box is 6 inches wide, 8 inches long, and 5 inches high. What is the greatest possible (straight-line) distance, in inches, between any two points on the box?
 

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