You’re observing a hot air balloon from a spot 1.8 miles away from where it lifted off (remember 1 mile=5280 feet). If the balloon is currently 2500 ft in the air, at what angle of elevation would you have to look in order to be pointed at it?

Relax

Respuesta :

Answer: Approximately 14.737627 degrees

Round this however you need to

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Explanation:

Refer to the diagram below.

1 mi = 5280 ft

1.8 mi = 1.8*5280 ft

1.8 mi = 9504 ft

We use the tangent ratio to tie together the opposite side (2500 ft) with the adjacent side (9504 ft)

tan(angle) = opposite/adjacent

tan(x) = 2500/9504

x = arctan(2500/9504)

x = 14.737627 approximately

Side note: the arctangent is the same as inverse tangent denoted as [tex]\tan^{-1}[/tex]

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