The relative locations of Pedro's house, the grocery store, and the bank are shown in the diagram.

What is the distance between the grocery store and the bank?

Enter your answer in the box. Round your final answer to the nearest mile.
mi
A simple map layout in shape of scalene triangle. The vertex at the top is labeled as Grocery store, vertex at left bottom is labeled as Bank, and vertex at right bottom is labeled as Pedro house. The interior angle made at Bank is labeled as 75 degrees. The interior angle made at Pedro house is labeled as 54 degrees. The distance between Grocery store and Pedro house is labeled as 11 miles.

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eudora eudora · Answer 1 · 2019-02-19T18:34:57+01:00

Answer:

9.19 mi. is the distance between Bank and Grocery store.

Step-by-step explanation:

As we know in a given triangle with sides a, b, c which are the opposite sides of ∠A, ∠B, ∠C, follow the property

[tex]\frac{a}{sinA} = \frac{b}{sinB}=\frac{c}{sinC}[/tex]

Now we apply this property in the given triangle.

Let the distance between Grocery store and Bank = x mi

[tex]\frac{11}{sin75}=\frac{x}{sin54}[/tex]

[tex]x=\frac{(sin54)(11)}{sin75}[/tex]

[tex]\frac{(.81)(11)}{.97}=9.19[/tex]

So the answer is 9.19 mi.

Mrknowit Mrknowit · Answer 2 · 2019-05-02T20:16:52+02:00

Answer: Is 9

Step-by-step explanation:Took the test and is just 9 got 100% good luck ..

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