수학동아 - 폴리매스

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퍼즐파티

재밌는 수학 퍼즐과 퀴즈가 한가득!

[킹앤카&킹앤포&킹앤유] 퀴6. 카리용의 높이 구하기

수학동아 2017.05.24 02:44 조회 1081

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

KASIT 수학문제연구회 학생들이 출제한 수리 논술 문제입니다. 문제를 잘 풀어준 학생을 뽑아 수학문제연구회 학생들이 직접 답안을 첨삭해줄 예정입니다. 문제를 풀어 보세요!

빨강, 초록, 파랑 기둥에 서로 다른 크기의 종 25개가 달려 있는 카리용은 KAIST의 명물이다. 상상의 동물 용을 닮아서 카리용이 아니라, 쇠망치가 종을 때려 연주하는 악기 '편종'을 뜻하는 프랑스어 'carillon'에서 유래했다. 대범이와 현경이가 카리용 근처의 의자에 앉아 이야기를 나누고 있었다.

현경 : 카리용 진짜 크다. 오! 재밌는 걸 발견했어! 카리용의 그림자가 앞에 있는 의자의 등받이 위쪽 끝에 닿아!

대범 : 정말이네? 그럼 그림자의 길이를 이용해서 카리용의 높이를 알아낼 수 있지 않을까?

현경 : 어떻게?

대범 : 내 키가 175cm이고, 내 그림자의 길이가 70cm니까 이걸 활용해 보자!

과연 대범이는 카리용의 높이를 구할 수 있을까? 단, 태양광은 평행광이라 가정한다.