To raise (one's head or part of the body); also used figuratively for an issue or doubt that comes to the surface.
病気の少女はベッドのまま弱々しく頭をもたげた。
The sick girl weakly raised her head from the bed.
調査の結果、新たな疑問がもたげてきた。
As a result of the investigation, new questions have arisen.
古い帽子から彼は顔をもたげて外の景色を見た。
He raised his face from under the old hat and looked at the scenery outside.