Solve the Problem $2.7$ Miles Apart $24 ^ { \circ }$ And Telescope B Reports an Angle of Elevation Of

question 20

Multiple Choice

Solve the problem.
-A rocket tracking station has two telescopes A and B placed $2.7$ miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after a rocket launch. What is the distance to the rocket from telescope B at the moment when both tracking stations are directly east of the rocket telescope A reports an angle of elevation of $24 ^ { \circ }$ and telescope B reports an angle of elevation of $51 ^ { \circ }$ ? Round to the nearest hundredth of a mile.

• A) \(5.16 \mathrm { mi }\)
• B) \(2.42 \mathrm { mi }\)
• C) \(1.41 \mathrm { mi }\)
• D) \(4.62 \mathrm { mi }\)

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