Question on similar triangles attatched
1 answer:
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The distance between the two streets along Kendall is 347.9 feet.
Solution:
The image of the problem is attached below.
Distance between Wilmington to Ash Grove along Kendall = 820 feet
Distance between Wilmington to Ash Grove along Magnolia = 660 feet
Distance between Beech and Ash Grove along Magnolia = 280 feet
Distance between Wilmington to Beech along Magnolia
= 660 feet – 280 feet
= 380 feet
Let us x be the distance between Wilmington to Beech along Kendall and
820 – x be the distance between Beech and Ash Grove along Kendall.
The given streets are parallel.
By proportionality theorem, parallel lines cut by a transversal are in proportion.
Do cross multiplication.
Distance between Beech and Ash Grove along Kendall
= 820 – x
= 820 – 472.1
= 347.9
Hence the distance between the two streets along Kendall is 347.9 feet.
