Page 584 - Algebra 1

*25. Use the diagram of city streets from Example 1 on page 563. What is the
(86) direct distance (in city blocks) from the corner of A St. and 4th Ave. to the corner
of E St. and 2nd Ave.? Give your answer in simplest radical form and to the nearest tenth of a city block.
*26. Multi-Step Marisol is flying a kite as shown in the diagram. (85) a. Use the Pythagorean Theorem to find the length h.
b. How high is the kite off of the ground?
100 ft
60 ft
3 ft
*27. Write To find the distance between (5, 3) and (-2, 9), Dan lets (x1, y1) = (5, 3) in (86) the distance formula. Dawn lets (x1, y1) = (-2, 9). Explain why Dan and Dawn
will get the same result.
*28. Justify Is the triangle with vertices at (-3, 3), (1, 0), and (4, 4) a right triangle?
(86) Justify your answer.
*29. Multiple Choice Which points are not endpoints of a line segment with midpoint
(86) (7, -3)?
A (1, 2) and (13, -8) B (5, 0) and (9, -5)
C (2, -9) and (12, 3) D (4, -2) and (10, -4)
*30. Baseball A baseball diamond is a square that is 90 feet long on each side. Use (86) a coordinate grid to model positions of players on the field; place home plate
at (0, 0), first base at (90, 0), second base at (90, 90), and third base at (0, 90). An outfielder located at (50, 300) throws to the third-baseman. How long is the throw? Round you answer to the nearest foot.
h
Lesson 86 569