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What is the approximate distance between Chaplain and Asherville?

OA. 30.9 miles
OB.
14.7 miles
O c.
29.8 miles
OD.
16.4 miles

What is the approximate distance between Chaplain and Asherville? OA. 30.9 miles OB-example-1
User Gerric
by
3.6k points

2 Answers

2 votes

Answer:

14.7

Explanation:

got 100% on plato

What is the approximate distance between Chaplain and Asherville? OA. 30.9 miles OB-example-1
User Debilski
by
3.3k points
6 votes

Answer:

B

Explanation:

Remark

I'm hesitant to get an exact answer. You could do that with the cos law for distance. To get an approximate answer you could use the Pythagorean Theorem.

I'll try the cos law first.

Formula

c^2 = a^2 + b^2 - 2abcos(C)

Givens

c = 24

a = 18

b = ?

Solution

24^2 = 18^2 + b^2 - 2*18*b*cos(94)

576 = 324 + b^2 - 36*b*(-0.0698)

0 = 324 - 576 + b^2 + 2.511b

0 = b^2 + 2.511 - 252

Using the quadratic formula, the roots are

b1 = 14.66

b2 = - 17.11

The second one has no meaning in the real world.

Answer

the distance is 14.66 miles from Chaplin to Asherville

Note: using the Pythagorean theorem gives 15.87 which I would count as a good approximation.

User Mckoss
by
3.2k points