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27 votes
27 votes
Need help with this one step by step please? A.

500 meters
B.
360 meters
C.
63 meters
D.
1,000 meters

Need help with this one step by step please? A. 500 meters B. 360 meters C. 63 meters-example-1
User Hemlocker
by
2.8k points

1 Answer

17 votes
17 votes

Answer:

B. 360 meters

Explanation:

The triangles shown are similar, so their corresponding parts are proportional.

Setup

There are a couple of useful proportions here. We can equate the ratio of horizontal segments to the ratio of diagonal segments:

(600 m)/(250 m) = ??/(150 m)

Or, we can equate the ratios of the diagonal segment to the corresponding horizontal segment:

??/(600 m) = (150 m)/(250 m)

Solution

Either way, when we multiply the equation by the denominator of ??, we get the result ...

?? = (600)(150/250) m = 360 m

The distance from F to G is 360 meters.

User Spliffster
by
2.6k points