An airplane flies at an altitude of 5000 feet. How high is that in meters? (Use [tex][tex]$1 \, m = 3.3$[/tex][/tex] feet)

A. [tex][tex]$16.5 \, m$[/tex][/tex]
B. [tex][tex]$1515 \, m$[/tex][/tex]
C. [tex][tex]$1524 \, m$[/tex][/tex]
D. [tex][tex]$16,500 \, m$[/tex][/tex]
E. [tex][tex]$1.524 \, m$[/tex][/tex]



Answer :

To convert the altitude of an airplane from feet to meters, we need to use the given conversion factor that 1 meter equals 3.3 feet.

We start with the given altitude in feet:
[tex]\[ \text{Altitude in feet} = 5000 \text{ feet} \][/tex]

We need to convert this altitude into meters. To do this, we divide the altitude in feet by the number of feet per meter:
[tex]\[ \text{Altitude in meters} = \frac{\text{Altitude in feet}}{\text{Feet per meter}} \][/tex]

Substituting the given values, we have:
[tex]\[ \text{Altitude in meters} = \frac{5000 \text{ feet}}{3.3 \text{ feet/meter}} \][/tex]

Upon performing the division, we get:
[tex]\[ \text{Altitude in meters} \approx 1515.1515151515152 \text{ meters} \][/tex]

Thus, the altitude of the airplane in meters is approximately:
[tex]\[ 1515 m \][/tex]

So, the correct answer is [tex]\(1515 \text{ m}\)[/tex].