La Genèse 21:16 Commentaire : Rashi, Radak, Haamek Davar & Siftei Chakhamim

וַתֵּלֶךְ֩ וַתֵּ֨שֶׁב לָ֜הּ מִנֶּ֗גֶד הַרְחֵק֙ כִּמְטַחֲוֵ֣י קֶ֔שֶׁת כִּ֣י אָֽמְרָ֔ה אַל־אֶרְאֶ֖ה בְּמ֣וֹת הַיָּ֑לֶד וַתֵּ֣שֶׁב מִנֶּ֔גֶד וַתִּשָּׂ֥א אֶת־קֹלָ֖הּ וַתֵּֽבְךְּ׃

EIle alla s’asseoir du côté opposé, à la distance d’un trait d’arc, en se disant: "Je ne veux pas voir mourir cet enfant"; et ainsi assise du côté opposé, elle éleva la voix et pleura.

Rashi on Genesis

מנגד means some distance away.

Radak on Genesis

ותלך, after she had thrown Ishmael under one of the small trees, she went away a distance and sat down.

Haamek Davar on Genesis

And she went to sit across from him: A second time, to indicate that she distanced herself more than a bowshot, since she wanted to cry out loud. But she did not want the child to hear her crying; as this is hard for a sick person - whether he will recover or whether he will die. Hence she distanced herself further and she raised her voice and cried.