Answer: It takes 15.8 seconds to slide down a 2000 ft slope.
Step-by-step explanation:
Since we have given that
[tex]t=\sqrt{\dfrac{d}{16\sin\theta}}[/tex]
where, t is the time taken,
d is the length to slide down a slope
sin θ is the angle at which it inclined.
So, we have d = 2000 ft
θ = 30°
So, the time taken is given by
[tex]t=\sqrt{\dfrac{2000}{16\sin 30^\circ}}\\\\t=\sqrt{\dfrac{2000}{8}}\\\\t=\sqrt{250}\\\\t=15.81\ seconds[/tex]
Hence, it takes 15.8 seconds to slide down a 2000 ft slope.
