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Reptile [31]
3 years ago
10

caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a hot air balloon. Emily look

s yup at a 60 degree angle to see the same hot air ballon. approximate how far is the hot air ballon off the ground?

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0
Check the picture below.

thus then

\bf \begin{cases}
y=100-a\\
y=a\sqrt{3}
\end{cases}\implies 100-a=a\sqrt{3}\implies 100=a+a\sqrt{3}
\\\\\\
100=a(1+\sqrt{3})\implies \boxed{\cfrac{100}{1+\sqrt{3}}=a}
\\\\\\
\textit{what is the altitude \underline{y} then?}\qquad y=100-a
\\\\\\
y=100-\cfrac{100}{1+\sqrt{3}}\implies y\approx 63.39745962156~yards

-Dominant- [34]3 years ago
8 0

Answer:

63.4 Yards

Step-by-step explanation:

B.

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