Ask Question
15 January, 10:58

f the distance to the bottom of the sun is approximately 90 million miles from Earth, and the angle of elevation to the top of the sun is 0.5 ∘, find the diameter of the sun. Round to the nearest 10, 000 miles.

+5
Answers (1)
  1. 15 January, 11:26
    0
    790,000miles

    Step-by-step explanation:

    Given:

    Angle of elevation = 0.5°

    Distance = 90,000,000 miles

    For the angle of elevation, we neet to convert it from degree to time.

    Therefore to convert we use:

    Angular size = 0.5° * (60min/degree) * (60seconds/min) =

    = 0.5*60*60 = 1800 seconds of arc

    Therefore, to find the diameter we use the formula:

    Angular diameter = 206265 * (diameter of sun/distance)

    Since we are looking for the diameter, we make it subject of the formula, we have:

    Diameter of Sun = (Angular diameter * distance) / 206265

    Applying the formula we have:

    (1800*90000000) / 206265

    = 785394.43

    Which is approximately 790,000miles.

    Therefore diameter of the sun is 790,000 miles
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “f the distance to the bottom of the sun is approximately 90 million miles from Earth, and the angle of elevation to the top of the sun is ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers