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A rocket is launched from the Space Coast of Florida and can be seen from local schools. The angle of elevation from Western High School and Pine High School are 41.25 degrees and 23.125 degrees respectively. If the two schools are 512 miles apart, how far is the rocket from Pine High School?

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Answer:

365.73 miles

Step-by-step explanation:

Given that :

Angle of elevation (western high) = 41.25°

Angle of elevation (pine high) = 23.125

From the diagram attached :

Angle A = 180 - (41.25 + 13.125) = 115.625

Using the Sine rule :

a / SinA = b/SinB = c/sin C

512 / sin 115.625 = b / sin 41.25

554.68738 = b / sin 41.25

554.68738 * sin 41. 25 = b

b = 365.73 miles

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