Kenzie notices that her neighbor has a window on his house that is in the shape of a triangle. The height of the window is 10 inches and the base of the window is 6 inches. She makes a scale drawing of the triangular-shaped window. If the base of her scale drawing is 3 inches, what is the height of her scale drawing? (1 point)

Responses

3 inches
3 inches

5 inches
5 inches

7 inches
7 inches

10 inches

To find the height of Kenzie's scale drawing, we can set up a proportion using the ratios of the corresponding sides.

The ratio of the height of the actual window to the base of the actual window is 10:6 (or simplified, 5:3).

The ratio of the height of the scale drawing to the base of the scale drawing is x:3.

Setting up the proportion, we have:

5/3 = x/3

Cross multiplying, we get:

3x = 15

Dividing both sides by 3, we find:

x = 5

Therefore, the height of Kenzie's scale drawing is 5 inches.