Answer
$\bf{F}$
Work Step by Step
We will use the cosine formula to compute the distance from home to school.
$c^2=a^2+b^2-2ab \cos (C)$
Here, $a=5; b=8; c=87^{\circ}$
So, $c^2=(5)^2+(8)^2-2\times 5 \times 8 \cos (87^{\circ}) \approx 9 \ min$
Therefore, the correct option is $\bf{F}$.
