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 5 inches 5 inches 10 inches 10 inches 3 inches 3 inches 7 inches
According to the given scale, the base of the triangle in the scale drawing is 3 inches. If the ratio of the actual base to the base in the scale drawing is 6:3, then the height of the triangle in the scale drawing will also be reduced by the same ratio.
Actual height/Actual base = Scale height/Scale base
10 inches/6 inches = Scale height/3 inches
Cross-multiplying, we get:
Scale height = (10 inches * 3 inches) / 6 inches = 5 inches
Therefore, the height of the triangle in the scale drawing is 5 inches.