highschoolmom2010
A blimp provides aerial television views of a football game. The
television camera sights the stadium at a 7 degree angle of depression. The altitude of
the blimp is 400 m. What is the line-of-sight distance from the television camera
to the case of the stadium? Round to the nearest hundred meters.
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timo86m
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|dw:1377820249011:dw|
IDK what angle of depression is fill it in the diagram.
timo86m
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|dw:1377820432735:dw|
timo86m
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|dw:1377820519249:dw|
timo86m
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Lets clean it up a bit so we can work on it
|dw:1377820572079:dw|
timo86m
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looks like sin is best here
sin(7)=opp/hyp=400/x :)
highschoolmom2010
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x (sin 7)=400\[\frac{ x (\sin 7) }{ \sin 7 }=\frac{ 400 }{ \sin 7 }\]
highschoolmom2010
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\[x \approx 3282.2\]
timo86m
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FIrst of all sin 7=0.1218 roughly. SO plug it in
0.1218 =400/x
cross multipy
x = 3284.07
rounding to nearest hundred metter is
x = 3284.07
^
3300
highschoolmom2010
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well was i close enough
timo86m
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you are correct :D but round
highschoolmom2010
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cool thanks @timo86m
timo86m
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You are welcome