Question

what steps do you use to solve this Morgan and Nat’s heights can be compared using a scale of 1.5 inch : 2.5 inches. If Morgan is 36 inches tall, find Nat’s height. Give your answer in feet.

Answer 1

To find Nat's height, set up a proportion using the given scale and Morgan's height, cross multiply and solve for Nat's height in inches, then convert to feet to get that Nat is 5 feet tall.

Step-by-step explanation:

To solve for Nat's height given the scale of 1.5 inches for Morgan to 2.5 inches for Nat, and knowing that Morgan is 36 inches tall, you would set up a proportion as follows:

1. Write the scale as a ratio: 1.5 inches / 2.5 inches.
2. Write another ratio comparing Morgan's actual height to Nat's height (which is unknown): 36 inches / x inches.
3. Set the two ratios equal to each other to form a proportion: (1.5 / 2.5) = (36 / x).
4. Cross multiply to find X: 1.5x = 36 * 2.5.
5. Solve for x: x = (36 * 2.5) / 1.5.
6. Convert x from inches to feet by dividing by 12: height in feet = x / 12.

Following these steps, you would find that Nat's height is 60 inches, or 5 feet tall.