选择题

2024 AMC 8 Problem 24: Mountain Stained Glass

Jean has made a piece of stained glass art in the shape of two mountains, as shown in the figure below. One mountain peak is 8 feet high while the other peak is 12 feet high. Each peak forms a 90° angle, and the straight sides form a 45° angle with the ground. The artwork has an area of 183 square feet. The sides of the mountains meet at an intersection point near the center of the artwork, h feet above the ground. What is the value of h?

2024 AMC 8 第 24 题:山彩绘玻璃

Jean 制作了一件两座山形状的彩色玻璃艺术品,如下图所示。一座山峰高 8 英尺,另一座山峰高 12 英尺。每个山峰均形成 90° 角,直边与地面形成 45° 角。该艺术品面积为183平方英尺。山脉的两侧在艺术品中心附近的交汇点处交汇,距离地面高出 h 英尺。 h 的值是多少

A.
4
B.
5
C.
4√2
D.
6
E.
5√2