Difference between revisions of "2024 AMC 8 Problems/Problem 24"
(→Problem) |
(→Problem) |
||
| Line 1: | Line 1: | ||
==Problem== | ==Problem== | ||
| − | 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 <math>8</math> feet high while the other peak is <math>12</math> feet high. Each peak forms a <math>90^\circ</math> angle, and the straight sides form a <math> | + | 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 <math>8</math> feet high while the other peak is <math>12</math> feet high. Each peak forms a <math>90^\circ</math> angle, and the straight sides form a <math>45^\circ</math> angle with the ground. The artwork has an area of <math>183</math> square feet. The sides of the mountain meet at an intersection point near the center of the artwork, <math>h</math> feet above the ground. What is the value of <math>h?</math> |
==Solution 1== | ==Solution 1== | ||
Revision as of 16:04, 25 January 2024
Problem
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 
feet high while the other peak is 
feet high. Each peak forms a 
angle, and the straight sides form a 
angle with the ground. The artwork has an area of 
square feet. The sides of the mountain meet at an intersection point near the center of the artwork, 
feet above the ground. What is the value of 
