Questions: A tree is 120 feet ( ft ) tall. How many inches (in) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. Ratios: 36 in/1 yd 1 ft/12 in = in ft yd mi in

A tree is 120 feet ( ft ) tall. How many inches (in) is this?
First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.

Ratios:

36 in/1 yd
1 ft/12 in

= in
ft
yd
mi
in

Transcript text: A tree is 120 feet ( ft ) tall. How many inches (in) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. Ratios: $\square$ $\square$ $\frac{36 \mathrm{in}}{1 \cdot \mathrm{yd}}$ $\frac{1 \mathrm{ft}}{12 \mathrm{in}}$ $\square$ \[ =\quad \square \text { in } \] ft yd mi in

Solution

Solution Steps

To convert the height of the tree from feet to inches, we need to use the conversion ratio between feet and inches. Specifically, 1 foot is equal to 12 inches. Therefore, we multiply the height in feet by 12 to get the height in inches.

Step 1: Convert Feet to Inches

To convert the height of the tree from feet to inches, we use the conversion factor: \[ 1 \, \text{ft} = 12 \, \text{in} \] Given that the height of the tree is $120 \, \text{ft}$, we can express the conversion mathematically as: \[ \text{Height in inches} = 120 \, \text{ft} \times 12 \, \frac{\text{in}}{\text{ft}} \]

Step 2: Perform the Calculation

Calculating the height in inches: \[ \text{Height in inches} = 120 \times 12 = 1440 \, \text{in} \]