Driving down a mountain, Bob Dean finds that he descends 6000 feet in elevation by the time he is 4.5 miles (horizontally) away from the high point on the mountain road. Find the slope of his descent. (1 mile = 5280 feet).

As given in the question Bob Dean finds that when he descends height AB = 6000 feet, by the time he is 4.5 miles (BC) away from the high point on the mountain road.

We have to find the slope (measure of ∠C) as given in the figure attached.

First we will convert length of BC = 4.5 miles into feet to make all units uniform.

∵ 1 mile = 5280 feet

∴ 4.5 miles = 5280×4.5 feet

= 23760 feet

Since angle of descent is always equal to the angle of elevation

So slope = tanC = [tex]\frac{AB}{BC}[/tex]

= [tex]\frac{6000}{23760}[/tex]

= 0.2525

C = [tex]tan^{-1}(0.2525)[/tex]

= 14.17°

Therefore, slope of his descent is 14.17°.

Driving down a​ mountain, Bob Dean finds that he descends 6000 feet in elevation by the time he is 4.5 miles​ (horizontally) away from the high point on the mountain road. Find the slope of his descent.​ (1 mile​ = 5280​ feet).

Answer :

Other Questions

Driving down a mountain, Bob Dean finds that he descends 6000 feet in elevation by the time he is 4.5 miles (horizontally) away from the high point on the mountain road. Find the slope of his descent. (1 mile = 5280 feet).