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The distance 'D'of the sun from the earth is 1.496×10¹¹m . If sun's angular diameter is 1920 as measured from earth, find the diameter of the sun .
Answers
Answer:
139 × 10^9
Explanation:
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Answer:
sᴇᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ ғᴏʀ ᴍᴇᴛʜᴏᴅ 1
ᴀʟᴛᴇʀɴᴀᴛɪᴠᴇ ᴍᴇᴛʜᴏᴅ:
ᴛʜᴇ ᴅɪsᴛᴀɴᴄᴇ ᴅ ғʀᴏᴍ ᴛʜᴇ ᴇᴀʀᴛʜ ᴛᴏ ᴛʜᴇ sᴜɴ ɪs ᴠᴇʀʏ ʟᴀʀɢᴇ.
ᴛʜɪs ᴍᴀᴋᴇs ᴛʜᴇ ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ sᴜɴ 'ᴅ' ᴀʟᴍᴏsᴛ ʟɪᴋᴇ ᴀ sᴛʀᴀɪɢʜᴛ ʟɪɴᴇ.
ᴀʟsᴏ, ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴛʜᴇᴛᴀ ᴀʟsᴏ ɢᴇᴛs ʀᴇᴅᴜᴄᴇᴅ ᴅᴜᴇ ᴛᴏ ᴛʜᴇ ᴛʜᴇ ᴠᴇʀʏ ʟᴀʀɢᴇ ᴅɪsᴛᴀɴᴄᴇ ᴏғ 'ᴅ'.
sᴜᴄʜ ᴀɴ ᴏʀɪᴇɴᴛᴀᴛɪᴏɴ ᴍᴀᴋᴇs ɪᴛ ᴀ ʀɪɢʜᴛ ᴀɴɢʟᴇᴅ ᴛʀɪᴀɴɢʟᴇ.
ᴜsɪɴɢ ᴛʜᴇ ᴅᴇғɪɴɪᴛɪᴏɴ ᴏғ ᴛʀɪɢᴏɴᴏᴍᴇᴛʀɪᴄ ʀᴀᴛɪᴏs ᴡᴇ ɢᴇᴛ,
ᴛᴀɴ (ᴛʜᴇᴛᴀ) = ᴅ / ᴅ ... (1)
ᴀs ᴛʜᴇᴛᴀ ɪs ɴᴇɢʟɪɢɪʙʟᴇ, ᴛᴀɴ (ᴛʜᴇᴛᴀ) ɪs ᴀʟsᴏ ʀᴇᴅᴜɴᴅᴀɴᴛ.
ᴛʜᴜs
ᴛᴀɴ (ᴛʜᴇᴛᴀ) = ᴛʜᴇᴛᴀ ...(2)
ᴀᴘᴘʟʏɪɴɢ (2) ɪɴ (1)
(ᴛʜᴇᴛᴀ) = ᴅ / ᴅ ...(3)
ᴄᴏɴᴠᴇʀᴛɪɴɢ ᴛʜᴇᴛᴀ ғʀᴏᴍ sᴇᴄᴏɴᴅs ᴛᴏ ᴅᴇɢʀᴇᴇs,
ᴛʜᴇᴛᴀ ɪɴ ᴅᴇɢʀᴇᴇs
= 1920 sᴇᴄᴏɴᴅs / (60 x 60)
= 0.53
ᴄᴏɴᴠᴇʀᴛɪɴɢ ᴛʜᴇᴛᴀ ɪɴ ᴅᴇɢʀᴇᴇs ᴛᴏ ʀᴀᴅɪᴀɴs ғᴏʀ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴ,
ᴛʜᴇᴛᴀ ɪɴ ʀᴀᴅɪᴀɴs
= 0.53 x π/180
= 0.0093
ᴜsɪɴɢ (3)
ᴅ = ᴅ x ᴛʜᴇᴛᴀ ɪɴ ʀᴀᴅɪᴀɴs
ᴅ= 1.496 × 1011 ᴍ x 0.0093 ʀᴀᴅɪᴀɴs
ᴅ= 1.39 x 109 ᴍ
Explanation:
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ɪғ ᴜ ʜᴀᴠᴇ ᴀɴʏ ᴅᴏᴜʙᴛ ᴘʟs ɪɴғᴏʀᴍ ᴍᴇ..
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