We appreciate your visit to Angle of Depression A weather satellite is traveling in a circular orbit 9800 miles above the surface of the Earth Find the angle of depression. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
By forming a right-angled triangle with the Earth's center, satellite, and the horizon and using trigonometric functions like the cosine rule, we can calculate the angle of depression from the satellite to the horizon.
Explanation:
To find the angle of depression from a weather satellite to the horizon, we can use geometric relationships. With a satellite 9800 miles above the surface of the Earth and the Earth's radius being 4000 miles, we can form a right-angled triangle with one vertex at the satellite, one at the center of the Earth, and one at the horizon, where the line from the satellite to the horizon is a tangent to the Earth's surface.
The radius of Earth plus the altitude of the satellite gives us the hypotenuse of the right triangle, which is 4000 miles + 9800 miles = 13800 miles. The radius of the Earth is one of the sides adjacent to the right angle, which is 4000 miles. Using the Pythagorean theorem, we can find the distance from the center of the Earth to the point on the Earth's surface which forms the tangent line (hypotenuse).
However, since the Earth and the satellite's orbit are so large, angles are small and the cosine rule or other spherical trigonometry equations may be more appropriate for this calculation to account for the curvature of the Earth. Using the cosine rule: θ = cos-1((re2 + ro2 - rh2)/(2 * re * ro)), where θ is the angle of depression, re is Earth's radius, ro is the orbital radius, and rh is the radius at the horizon point (which is equal to re since it's a tangent line from the Earth's surface).
After calculation, this will give us the angle of depression which is the angle between the line from the satellite to the horizon and the line from the satellite to the center of the Earth.
Learn more about Angle of Depression here:
https://brainly.com/question/13697260
#SPJ11
Thanks for taking the time to read Angle of Depression A weather satellite is traveling in a circular orbit 9800 miles above the surface of the Earth Find the angle of depression. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
