Question

Question was provided via image upload.

Explanation:

Identify given values and conversion factor

The problem asks to convert a length of \(150\text{ meters}\) into feet. The prompt mentions "Use the table below," but the table is missing from the image due to an unavailable external tool. We will use the standard conversion factor between meters and feet:

$$1\text{ meter} \approx 3.28084\text{ feet}$$

Or the exact definition:

$$1\text{ inch} = 2.54\text{ cm} \implies 1\text{ foot} = 0.3048\text{ m}$$

Using Unit Conversion from the Metric System to the U.S. Customary System:

$$1\text{ m} = \frac{1}{0.3048}\text{ ft} \approx 3.280839895\text{ ft}$$

Set up the conversion equation

Using Unit Conversion Factors to convert \(150\text{ meters}\) to feet:

$$L = 150\text{ m} \times \frac{1\text{ ft}}{0.3048\text{ m}}$$

Calculate the length in feet

Perform the division:

$$L = \frac{150}{0.3048}\text{ ft} \approx 492.12598\text{ ft}$$

Round to the nearest hundredth

Rounding \(492.12598\) to the nearest hundredth (two decimal places):
The digit in the thousandths place is \(5\), so we round up:

$$L \approx 492.13\text{ ft}$$

(Note: If using the common approximation \(1\text{ m} \approx 3.28\text{ ft}\), the calculation is \(150 \times 3.28 = 492\text{ ft}\). If using \(1\text{ m} \approx 3.281\text{ ft}\), the calculation is \(150 \times 3.281 = 492.15\text{ ft}\). The standard exact conversion yields \(492.13\text{ ft}\).)

Answer:

\(492.13\text{ feet}\)