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16 votes
Alanton is 16 miles from oakley, 8 miles from Crawford and 28 miles from fayetteville. How far is alantown to Bishop?

2 Answers

10 votes

Answer:

54 miles

Explanation:

User Fanchi
by
3.1k points
8 votes

Answer:

x = 14

Explanation:

alanton is 16 miles from oakley, 8 miles from crawfod and 28 miles from fayeville

Make sure to draw the distances on the figure correctly.

We have similar triangles

AC CD

------ = ---------

BC CE

8 x

------ = ---------

16 28

Using cross products

8 * 28 = 16*x

224 = 16x

Divide each side 16

224/16 = 16x/16

14

The distance is 14

We have right triangles so we can find length y

y^2 + 16^2 = 28^2

y^2 = 28^2 - 16^2

y ^2 =528

y = sqrt(528)

We can find the length of AC

AC^2 +

We have right triangles so we can find length y

y^2 + 16^2 = 28^2

y^2 = 28^2 - 16^2

y ^2 =528

y = sqrt(528)

User Molochdaa
by
3.3k points