"Sunbound: A Journey Across Stellar Spans " by: TEAM 3 Assignment Mathematics I (FBM0015) Semester: January 2024 Prepared for: Mr M Faiz Abd Muttalib
It’s nice to be in space. I can stare at stars all day long. What are you doing here, Lexi ? But.. Have you ever wondered what the distance between the sun and that star is ? Hi Rosie. I’m here to stare at those beautiful stars. Sure.. Come sit with me. It sure does.. Isn’t it beautiful? Yeah. It does look so far away from the sun. Hi, Lexi. Can I join you ? Let’s try to calculate it then by using TRIGONOMETRIC function. But first, we need a telescope to inspect the stars. I think there’s one stand on the shuttle. I’ll go get it. Now let’s take a look at the star. Here’s how it works.
The vast distances involved in interstellar space make direct measurement impractical. Trigonometry is a branch of math that deals with triangles and angles. By measuring the angle of parallax and knowing the distance between our observation points on Earth, we can calculate the distance to the star. Stars are typically light-years away from Earth, and traditional methods like measuring with a ruler or using GPS simply wouldn't work over such enormous distances. First, we know that the distance between the Earth and sun is 1AU. What is AU? AU or astronomical unit of length effectively equal to the average, or mean, distance between the Earth and the Sun, which is around 150 million KM. 1AU Next, we need to identify the angle which the star is viewed from earth. Let’s just say we’re gazing upward, our eyes meeting the star at a tilt of 60° 60° Last but not least, the distance between the sun and star which we’re trying to find out. We can put it as d. That’s a whole new thing to explain. How about we try to calculate? d
distance between Earth and Sun = 1AU = 150 million km angle at which the star is viewed from the Earth = 60° distance between sun and star = d Tan Q = d (1 AU) Tan 60 = d (1 AU) d = 1.7321 × 1AU d = 1.7321 AU 60° Earth Star d 1AU Sun Now we can conclude that the distance between that star and the sun is 1.7321 AU With the simple explanation, now I totally undesrtand about this concept. Thank you Rosie. You are welcome. I hope others also can implement this concept in other scenarios.
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