Question

10 points!

An artist has been hired to paint a mural of a sailboat on the side of a building. The original sailboat is 32 feet in length and has a mast height of 40 feet. The

artist will create the mural using a scale factor of 4:3 to relate the original dimensions to mural dimensions.


How tall will the mast of the sailboat be in the mural?


_____ ft?

Answer 1

30 feet

Explanation:

A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,

original mast height = 40 feet

4 * x = original mast height = 40 feet

divide both sides by 4 to get x

x = 10 feet

3 * x = mural mast height = 3 * 10 feet = 30 feet