Question

emma enjoys flying kites. her red kite has a maximum altitude of 117.46 meters, and her black kite has a maximum altitude of 362.26 feet. one foot is the same as 0.3048 meters. which kite has a higher maximum altitude, and how many feet higher is it?
a. the black kite has a maximum altitude 74.62 feet higher than the red kite.
b. the black kite has a maximum altitude 33.66 feet higher than the red kite.
c. the red kite has a maximum altitude 23.11 feet higher than the black kite.
d. the red kite has a maximum altitude 7.04 feet higher than the black kite.

Explanation:

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<reasoning>

Convert red kite altitude to feet

Using the Unit Conversion and Dimensional Analysis knowledge points
\[
\text{Altitude}_{\text{red}} = \frac{117.46\text{ meters}}{0.3048\text{ meters/foot}} \approx 385.3675\text{ feet}
\]

Compare altitudes and find the difference

Using the Relative Comparison knowledge point
\[

$$\begin{aligned} &\text{Altitude}_{\text{red}} \approx 385.37\text{ feet} > \text{Altitude}_{\text{black}} = 362.26\text{ feet}\\ &\text{Difference} = 385.3675 - 362.26 \approx 23.11\text{ feet} \end{aligned}$$

\]
The red kite is higher by approximately \(23.11\text{ feet}\).
</reasoning>

<answer>
<mcq-option>a. The black kite has a maximum altitude 74.62 feet higher than the red kite.</mcq-option>
<mcq-option>b. The black kite has a maximum altitude 33.66 feet higher than the red kite.</mcq-correct>
<mcq-correct>c. The red kite has a maximum altitude 23.11 feet higher than the black kite.</mcq-correct>
<mcq-option>d. The red kite has a maximum altitude 7.04 feet higher than the black kite.</mcq-option>
</answer>

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Answer:

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<reasoning>

Convert red kite altitude to feet

Using the Unit Conversion and Dimensional Analysis knowledge points
\[
\text{Altitude}_{\text{red}} = \frac{117.46\text{ meters}}{0.3048\text{ meters/foot}} \approx 385.3675\text{ feet}
\]

Compare altitudes and find the difference

Using the Relative Comparison knowledge point
\[

$$\begin{aligned} &\text{Altitude}_{\text{red}} \approx 385.37\text{ feet} > \text{Altitude}_{\text{black}} = 362.26\text{ feet}\\ &\text{Difference} = 385.3675 - 362.26 \approx 23.11\text{ feet} \end{aligned}$$

\]
The red kite is higher by approximately \(23.11\text{ feet}\).
</reasoning>

<answer>
<mcq-option>a. The black kite has a maximum altitude 74.62 feet higher than the red kite.</mcq-option>
<mcq-option>b. The black kite has a maximum altitude 33.66 feet higher than the red kite.</mcq-correct>
<mcq-correct>c. The red kite has a maximum altitude 23.11 feet higher than the black kite.</mcq-correct>
<mcq-option>d. The red kite has a maximum altitude 7.04 feet higher than the black kite.</mcq-option>
</answer>

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