morgracecowan
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As a part of their weather unit, Anoki’s science class took a hot air balloon ride. As they passed over a fenced field, the angle of depression of the closer side of the fence was 32°, and the angle of depression of the farther side of the fence was 27°. If the height of the balloon was 800 feet, estimate the width of the field. Round your answer to the nearest foot.

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garydesir1

Hello there!

I hope you and your family are staying safe and healthy!

P.S. I did my best drawing the problem :)

[tex]Tan 32 = \frac{800}{x}[/tex]

[tex]x = \frac{800}{tan32}[/tex]

[tex]Tan 27 = \frac{800}{y}[/tex]

[tex]y=\frac{800}{tan27}[/tex]

Answer: ~289.8 ft

I hope this makes sense! See picture for additional info.

As always, it is my pleasure to help students like you!

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