Question

question 5
0/1 pt 3 99 details
an f - 22 raptor is approaching nellis air force base at an altitude of 2,640 feet. if the horizontal distance from the plane to the runway is 1.2 miles, use the pythagorean theorem to find the diagonal distance from the plane to the runway (in miles). round to 1 decimal place, if necessary.
hint: 5,280 feet = 1 mile
mile(s)

Explanation:

Step1: Convert altitude to miles

First, convert 2640 feet to miles. Since 5280 feet = 1 mile, then $2640\div5280 = 0.5$ miles.

Step2: Apply Pythagorean theorem

Let $a = 0.5$ miles (altitude in miles) and $b=1.2$ miles (horizontal distance). The Pythagorean theorem is $c=\sqrt{a^{2}+b^{2}}$, where $c$ is the diagonal distance. So $c=\sqrt{0.5^{2}+1.2^{2}}=\sqrt{0.25 + 1.44}=\sqrt{1.69}$.

Step3: Calculate the value of $c$

$\sqrt{1.69}=1.3$ miles.

Answer:

$1.3$