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DIA [1.3K]
3 years ago
6

A rocket is launched from the Space Coast of Florida and can be seen from local schools. The angle of elevation from Western Hig

h 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?
Mathematics
1 answer:
german3 years ago
8 0

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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