Question

Meteorologist Wendy Stevens uses
a theodolite (an angle-measuring device) on a
1-meter-tall 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.

Answer 1

http://www.twiddla.com/527982

Answer 2

to find height
height = 1400*sin(44)

Answer 3

i got 972.5

Answer 4

Answer 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.

Answer 5

i 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

Answer 6

for the second one if we call the distance d, then \[cos(44)=\frac{d}{1400}\] or \[d=1400cos(44)=1007\]

Answer 7

this one we don't have to adjust.

Answer 8

so 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

Answer 9

it is yes or no

Answer 10

it 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

Answer 11

I answered your c question above. Same conclusion as satellite.

Answer 12

http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4ddf13c7c9a28b0b43a963c2