Can someone please give me the format on how to put this exactly in matlab? the math is correct! The answers are there
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Problem 1 – At the distance of Earth, 147 million kilometers, what is the angular diameter of the sun whose physical diameter is 1.4 million kilometers?
Answer: θ= 2arcTan(1.4million/2*147million)
θ=2arcTan(0.0048)
θ=0.55 degrees
Problem 2 – At the distance of closest approach to the solar surface Solar Probe Plus will be at a distance of 5.8 million kilometers from the solar surface. What will be the angular diameter of the sun if its physical diameter is 1.4 million kilometers?
Answer:
θ = 2 arctan (1.4/(2 x 5.8)) so
θ= 14 degrees
Problem 3 – A DVD disk measures 12 cm in diameter. How far from your eyes will you have to hold the DVD disk in order for it to subtend the same angular size as the disk of the sun viewed by Solar Probe Plus at its closest distance?
Answer: The desired angular diameter of the sun is θ= 14 degrees, and for the DVD disk we have d = 12 cm, so we need to solve the formula for r.
Tan (θ/2) = d/2r so
2r = d / tan(θ/2) then
r = 6 cm / tan(7) yields
r = 49 cm. This is about 18 inches
.
Answers (2)
Geoff Hayes
on 10 Dec 2015
Edited: Geoff Hayes
on 10 Dec 2015
0 votes
1 Comment
seymur mustafayev
on 10 Dec 2015
Image Analyst
on 10 Dec 2015
0 votes
For example
θ= 2arcTan(1.4million/2*147million)
would be
theta = 2 * atand(1.4e6 / (2 * 147e6))
Now I think you can get the rest of them.
1 Comment
seymur mustafayev
on 10 Dec 2015
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