Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. Approximately how far is the hot air balloon off the ground?

Question

Mathematics

Emely Pitts

12 November, 07:57

Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. Approximately how far is the hot air balloon off the ground?

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Answers (1)

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Sam · Answer 1

45 angle

60 angle

Angle = 90 degrees

1st triangle = 45, 45, 90

2nd triangle = 60, 30, 90

(sin 15) / 100 = (sin 45) / c

C = 100 sin 45 / sin 15 = 273.2

273. 2 yards is the height of the balloon.