From a hot air balloon, the angle between a radio antenna straight below and the base of the library downtown is 63°, as shown below. If the distance between the radio antenna and the library is 24 miles, how many miles high is the balloon?
image of hot air balloon directly over a radio antenna; library 24 miles from the antenna; angle from the balloon from the vertical to a line to the library measures 63 degrees

A. 47.10 miles
B. 24.44 miles
C. 12.22 miles
D. 26.94 miles

Question

From a hot air balloon, the angle between a radio antenna straight below and the base of the library downtown is 63°, as shown below. If the distance between the radio antenna and the library is 24 miles, how many miles high is the balloon?
image of hot air balloon directly over a radio antenna; library 24 miles from the antenna; angle from the balloon from the vertical to a line to the library measures 63 degrees 


 A. 47.10 miles 
 B. 24.44 miles 
 C. 12.22 miles 
 D. 26.94 miles

anonymous · Answer

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$$tan(63)=\frac{H}{24}$$$$H=24\times tan(63)=47.10miles$$

anonymous · Answer

THANK YOU!

jim_thompson5910 · Answer

Shouldn't the drawing be 

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