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insens350 [35]
2 years ago
8

Holding a ruler upright at arm’s distance (24 in.), Ronnie aligned the bottom of the ruler with a mark on the utility pole that

was about 5 feet above the ground. He saw that the top of the pole aligned with the 6-inch mark on the ruler. Then he took 40 long strides to reach the pole. If each stride was about one yard (3 feet), then the top of the pole is about how many feet high?
Mathematics
1 answer:
atroni [7]2 years ago
4 0

Answer:

10 feet

Step-by-step explanation:

Drawing obviously not to scale but... Red segment is the ruler, at least the part between 5 and 6 inches, 1 inch long. Brown segment is the pole, ground to the top. Leftmost point is the eye, green line is the horizontal. The triangles are similar (AAA, the vertical lines are parallel), the ratio of the side is the same as the ratio of the heights. The height of the larger triangle (measured across the green line is

40 yd \times 3\frac{ft}{yd} \times 12\frac{in}{ft}= 1440''.

Ratio of the height is then 1440\div24 = 60.

At this point the height of the pole is 60 times the length of the measure on the ruler, or 60 inches, that is 5 feet. Add the 5 feet the pole was starting from, it's 10 feet.

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Step-by-step explanation:

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7. Amber has $37 to spend. She bought a coffee for
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Answer:

d

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