Final answer:
To find the scale drawing height, a proportion is set up using the scale ratio of 2 cm to 2.8 m and the actual height of 5.6 meters. After cross-multiplying and solving, the tree's height in the drawing is determined to be 4 cm.
Step-by-step explanation:
The question asks how to calculate the height of a tree in a scale drawing given the actual height of the tree and the scale. The tree's actual height is 5.6 meters and the scale is 2 cm : 2.8 m. To find the height of the tree in the drawing, we set up a proportion:
5.6 meters (actual height) / 2.8 meters (scale reference) = x cm (drawing height) / 2 cm (scale)
Cross-multiplying, we get:
(5.6 m * 2 cm) = (2.8 m * x cm)
Now divide both sides by 2.8 m to solve for x:
x = (5.6 m * 2 cm) / 2.8 m = 4 cm
The drawing will be 4 centimeters high, so the correct answer is A) 4 cm.