Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30°, respectively. Find the height of the poles and the distances of the point from the poles
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ᴀ sᴛᴀʀ ɪs ᴀɴ ᴀsᴛʀᴏɴᴏᴍɪᴄᴀʟ ᴏʙᴊᴇᴄᴛ ᴄᴏɴsɪsᴛɪɴɢ ᴏғ ᴀ ʟᴜᴍɪɴᴏᴜs sᴘʜᴇʀᴏɪᴅ ᴏғ ᴘʟᴀsᴍᴀ ʜᴇʟᴅ ᴛᴏɢᴇᴛʜᴇʀ ʙʏ ɪᴛs ᴏᴡɴ ɢʀᴀᴠɪᴛʏ. ᴛʜᴇ ɴᴇᴀʀᴇsᴛ sᴛᴀʀ ᴛᴏ ᴇᴀʀᴛʜ ɪs ᴛʜᴇ sᴜɴ. ... ᴀsᴛʀᴏɴᴏᴍᴇʀs ʜᴀᴠᴇ ᴀssᴇᴍʙʟᴇᴅ sᴛᴀʀ ᴄᴀᴛᴀʟᴏɢᴜᴇs ᴛʜᴀᴛ ɪᴅᴇɴᴛɪғʏ ᴛʜᴇ ᴋɴᴏᴡɴ sᴛᴀʀs ᴀɴᴅ ᴘʀᴏᴠɪᴅᴇ sᴛᴀɴᴅᴀʀᴅɪᴢᴇᴅ sᴛᴇʟʟᴀʀ ᴅᴇsɪɢɴᴀᴛɪᴏɴs.
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