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

Caleb and emily are standing 100 yards from each

Ответ:

jenaycasmall

13.03.2022

Check the picture below.

thus then

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

Caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a

Caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a

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Ответ:

angehtjgdb

16.12.2021

Mathematics

Step-by-step explanation:

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

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