An observer in a hot-air balloon sights a building that is 50 m from the balloon's launch point. The balloon has risen 165 m. What is the angle of depression from the balloon to the building? Round to the nearest degree.
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OpenStudy (anonymous):
OpenStudy (anonymous):
@jim_thompson5910 @Abhisar @Luigi0210 Pleaze help i will give medal and fan
OpenStudy (anonymous):
@lilia222 @LarsEighner @kimarhett @hba @genson0 @sammiegurl3 guys please i need help
OpenStudy (luigi0210):
You could use \(tan\theta\)
OpenStudy (anonymous):
yea im rly rusty in this subject so i dont know how to do that
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OpenStudy (luigi0210):
That'll give you the interior angle of the triangle and you could find the angle of depression by subtracting it from \(90^○\)
OpenStudy (anonymous):
but how do you do that like what equation do you use
OpenStudy (luigi0210):
\(\Large tan\theta=\frac{opposite}{adjacent}\)
OpenStudy (anonymous):
if any
OpenStudy (luigi0210):
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OpenStudy (luigi0210):
In terms of theta that is
OpenStudy (luigi0210):
So that would pretty much be \(\Large tan\theta=\frac{50}{165}\)
OpenStudy (anonymous):
i just did the math it is 73 degrees..... thank you