Restart
5 of 15
What is the distance between the top of a 30 ft high tower and the tip of its 40 ft long shadow?
-
50 ft
-
25 ft
-
60 ft
-
70 ft
That's Correct!
It's Wrong!
The distance between the top of the tower and the tip of its shadow can be found using similar triangles. The height of the tower forms one side of a right triangle, while the length of the shadow forms the corresponding side. Since the triangles are similar, the ratio of the height to the length of the shadow is the same as the ratio of the unknown distance to the length of the shadow. Therefore, we can set up the proportion: height/shadow = distance/shadow. Plugging in the given values, we get: 30/40 = distance/40. Solving for the distance, we find that it is 50 ft.
