A driveway is built on a slant where it rises 3m over a distance of 20m, what is the angle of elevation with the ground?

I'm not sure if the 20m should be the adjacent leg or the hypotenuse.

Printable View

- Sep 17th 2009, 09:49 AMNaplesAngle of Elevation
A driveway is built on a slant where it rises 3m over a distance of 20m, what is the angle of elevation with the ground?

I'm not sure if the 20m should be the adjacent leg or the hypotenuse. - Sep 17th 2009, 10:03 AMe^(i*pi)
I would say it's the adjacent side, it would be unusual to describe the hypoteneuse when it would be much easier to describe the adjacent

- Sep 18th 2009, 03:40 AMaidan
This is a Building Construction problem.

ALL dimensions are given as horizontal & vertical - or vertical & horizontal - NEVER diagonal.

Stair Step: tread & riser

Roof Pitch: Horizontal Distance & Vertical Distance

Sewer Flow: 1% (translates to 1 foot vertical drop per 100 feet horizontal travel).

These are the easiest methods to layout & build.

Most carpenters use the slope/hypotenuse ONLY as a check -- never to setup to build.

In your question you are give the vertical rise over a horizontal distance.

The 20m is the adjacent side. - Sep 19th 2009, 04:48 AMpacman
"A driveway is built on a slant where it rises 3m over a distance of 20m, what is the angle of elevation with the ground?I'm not sure if the 20m should be the adjacent leg or the hypotenuse."

in a civil engineer arena, you do measure base and height

grade = y/x = height/base

height = 3 m

base = 20

not necessary: slant height = sqrt (20^2 + 3^2) = sqrt 409 = 20.22375 m

angle of elevation = arctan (grade) = arctan (y/x) = arctan(height/base) = ?

you may read this: Grades, Highway | Macmillan Mathematics Summary

(Rock)