PRAXIS Core Math (5733) Question of the Day

1. 20
2. 13.3
3. 10
4. 6.7 (correct answer)

Explanation: The ratio of an object's height to its shadow's length is constant. Let $h$ be the height of the flagpole in feet. Set up the proportion: $\frac{\text{person's height}}{\text{person's shadow}} = \frac{\text{flagpole's height}}{\text{flagpole's shadow}}$. So, $\frac{6 \text{ ft}}{9 \text{ ft}} = \frac{h}{30 \text{ ft}}$. Simplify the ratio $\frac{6}{9}$ to $\frac{2}{3}$. Now we have $\frac{2}{3} = \frac{h}{30}$. Cross-multiply: $3h = 2 \times 30 = 60$. Solve for $h$: $h = 20$ feet. The question asks for the height in yards. Since there are 3 feet in 1 yard, divide the height in feet by 3: $20 \text{ feet} \div 3 \frac{\text{feet}}{\text{yard}} \approx 6.67$ yards. Rounded to one decimal place, this is 6.7 yards.