Technology. Driving down a mountain, Tom finds that he has descended 1800 ft
in elevation by the time he is 3.25 mi horizontally away from the top of the
mountain. Find the slope of his descent to the nearest hundredth.
2007-05-14 03:43:51 · 4 answers · asked by davidu69 1 in Science & Mathematics ➔ Mathematics
Slope is rise over run
Run =3.25 miles= 17,160 ft.
Rise = -1800 ft.
Slope = 17,160/(-1800)
= 9.53
2007-05-14 03:49:32 · answer #1 · answered by jordanhendon 2 · 0⤊ 0⤋
Pretty easy question. First we convert the miles in to feet. The slope is/ or angle would 1800/17160 be tan of 0.104895 Second it would be negitive since Tom is going downhill.
2007-05-14 10:57:05 · answer #2 · answered by jvjoey 1 · 1⤊ 0⤋
First let's convert 3.25 mi to feet
3.25 mi * 5280 ft/mi = 17,160 ft
Now we use the tan x = (side opposite)/(side adjacent) trig formula to determine the slope.
tan x = 17160/1800 = 9.53
The slope is 9.53
.
2007-05-14 10:56:03 · answer #3 · answered by Robert L 7 · 0⤊ 0⤋
1800ft = 548.64 metres
3.25 miles = 5229.25 metres
Slope = Height / Length
Slope = - 548.64 / 5229.25 = - 0.1049
-ve as travel is in downwards direction.
This is about a 10.5% downwards incline (so its fairly steep for a road)
2007-05-14 10:58:05 · answer #4 · answered by Doctor Q 6 · 0⤊ 1⤋