(a) Suppose Venus is halfway between the Earth and Sun (that is, Ryenus - REarth 2). What then would be true about the two similar triangles on the above diagram-the triangles whose tips touch and whose bases are on the Earth and Sun, respectively? O The one on the left (attached to Earth) will be larger. They will be the same size. The one on the right (attached to the Sun) will be larger.

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Chapter1: Units, Trigonometry. And Vectors
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Earth
Venus
Sun
dobserved
Rvenus
REarth
dobserved
d
REarth - Rvenus
d
dobserved
REarth - Rvenus
Rvenus
where the symbols are as follows.
REarth
distance from Earth to Sun
Rvenus
distance from Venus to Sun
d
distance between observing sites on Earth
dobserved distance between Venus transit paths on Sun
(a) Suppose Venus is halfway between the Earth and Sun (that is, RVenue = Rarth 2). What then would be true about the two similar triangles on
the above diagram-the triangles whose tips touch and whose bases are on the Earth and Sun, respectively?
O The one on the left (attached to Earth) will be larger.
They will be the same size.
O The one on the right (attached to the Sun) will be larger.
(b) If Venus is halfway between the Earth and Sun (that is, Ryenus = REarth 2)., how will d and dabserved be related?
O d>dobs
sq°p = P
Od<dobs
Od = dobs
s0p >
(c) Now suppose Venus is one-third of the way from the Sun to the Earth (Renus = 1/3Rarth). What then would be true about the two similar
venus
triangles on the above diagram?
O The one on the left (attached to Earth) will be larger.
T
O They will be the same size.
O The one on the right (attached to the Sun) will be larger.
(d) If Venus is one-third of the way from the the Sun to the Earth (R.anus = 1/3 R.arth), how will how will d and dabsenverd (the bases of the
'venus
respective triangles) be related?
sq°p <P O
Od= dobs
s9°p >P O
(e)
For a third case, imagine that Venus is two-thirds of the way from the Sun to the Earth (Rvenus = (2/3)REarth). What then would be true about
the two similar triangles on the above diagram?
O The one on the left (attached to Earth) will be larger.
They will be the same size.
O The one on the right (attached to the Sun) will be larger.
Transcribed Image Text:Earth Venus Sun dobserved Rvenus REarth dobserved d REarth - Rvenus d dobserved REarth - Rvenus Rvenus where the symbols are as follows. REarth distance from Earth to Sun Rvenus distance from Venus to Sun d distance between observing sites on Earth dobserved distance between Venus transit paths on Sun (a) Suppose Venus is halfway between the Earth and Sun (that is, RVenue = Rarth 2). What then would be true about the two similar triangles on the above diagram-the triangles whose tips touch and whose bases are on the Earth and Sun, respectively? O The one on the left (attached to Earth) will be larger. They will be the same size. O The one on the right (attached to the Sun) will be larger. (b) If Venus is halfway between the Earth and Sun (that is, Ryenus = REarth 2)., how will d and dabserved be related? O d>dobs sq°p = P Od<dobs Od = dobs s0p > (c) Now suppose Venus is one-third of the way from the Sun to the Earth (Renus = 1/3Rarth). What then would be true about the two similar venus triangles on the above diagram? O The one on the left (attached to Earth) will be larger. T O They will be the same size. O The one on the right (attached to the Sun) will be larger. (d) If Venus is one-third of the way from the the Sun to the Earth (R.anus = 1/3 R.arth), how will how will d and dabsenverd (the bases of the 'venus respective triangles) be related? sq°p <P O Od= dobs s9°p >P O (e) For a third case, imagine that Venus is two-thirds of the way from the Sun to the Earth (Rvenus = (2/3)REarth). What then would be true about the two similar triangles on the above diagram? O The one on the left (attached to Earth) will be larger. They will be the same size. O The one on the right (attached to the Sun) will be larger.
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