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babymother [125]
3 years ago
11

The Des Plaines River Bridge is 2.1 km long. Engineers are considering re-lighting the bridge with a pole placed every 100 feet

of the bridge length starting from the south end. Each pole will support four light globes. How many globes will be required for the re-lighting project?
Mathematics
2 answers:
Basile [38]3 years ago
8 0
228
hope this helped!
kap26 [50]3 years ago
5 0
Now, there are 3280.84 feet in 1 kilometer, so, how many feet are there in 2.1km? well, 2.1 * 3280.84 or 6889.764 feet.

now, they're putting globes on intervals of 100ft, however, how many times does 100 go into 6889.764? well 6889.764/100  which is rounded up 68.9.

so, that means roughly 69 poles, however, the division excludes the starting point, so if we include that, because is lighting and thus it needs to include the starting point of the bridge, so that'd be 70 poles then.

each pole with 4 globes, 70 * 4 globes then.
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Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

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\angle CAB+\angle CBA+\angle ACB=180^{\circ}\\ \\25^{\circ}+25^{\circ}+\angle ACB=180^{\circ}\\ \\\angle ACB=130^{\circ}

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x=\angle APB=\dfrac{1}{2}\cdot 130^{\circ}=65^{\circ}

8 0
3 years ago
738 x 695<br><img src="https://tex.z-dn.net/?f=795%20%5Ctimes%20695%20%20" id="TexFormula1" title="795 \times 695 " alt="795 \t
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