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anonymous
 5 years ago
Meteorologist Wendy Stevens uses
a theodolite (an anglemeasuring device) on a
1metertall tripod to find the height of a weather
balloon. She views the balloon at a 44° angle of
elevation. A radio signal from the balloon tells her
that it is 1400 meters from her theodolite.
a.How high is the balloon?
b.How far is she from the point directly below the balloon?
c.If Wendy’s theodolite were on the ground rather
than on a tripod, would your answers change?
Explain your reasoning.
anonymous
 5 years ago
Meteorologist Wendy Stevens uses a theodolite (an anglemeasuring device) on a 1metertall tripod to find the height of a weather balloon. She views the balloon at a 44° angle of elevation. A radio signal from the balloon tells her that it is 1400 meters from her theodolite. a.How high is the balloon? b.How far is she from the point directly below the balloon? c.If Wendy’s theodolite were on the ground rather than on a tripod, would your answers change? Explain your reasoning.

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dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0to find height height = 1400*sin(44)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Answer is no. The thodolite is modelled as something very small, like a dot, so it doesn't matter on the ground or on the tripod.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i get \[sin(44)=\frac{x}{1400}\]\[x=1400sin(44)=975.52\]but this is the height from one meter up so you have to add 1 to get 976.52

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for the second one if we call the distance d, then \[cos(44)=\frac{d}{1400}\] or \[d=1400cos(44)=1007\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0this one we don't have to adjust.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so for C the distance wouldn't change. i assume this question means if angle of elevation was still 44 degrees what would the height be? you would not have to add one to get the height and the distance would be the same

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it is not a yes or no question! distance in part b would be the same. for the height you would not have to add 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I answered your c question above. Same conclusion as satellite.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4ddf13c7c9a28b0b43a963c2
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