Question

A gradient of 1 degree represents a rise or fall of 1m in a horizontal distance of

Answer 1

gradient of 1 in 10 means that for every 10 units of horizontal distance traverses there is 1 unit of vertical drop or rise. The angle of Tan of this angle (A) of drop or rise with the ...

Answer 2

A gradient of 1° represents a rise or fall of 1 meter in a horizontal distance of 57.29 meters.

Step-by-step explanation:

The gradient is equal to 1°.

Now, using trigonometry we can write that

$\tan \theta = \frac{\textrm {Length of vertical Rise or Fall}}{\textrm {Horizontal Length}}$

Now, if the length of the vertical rise of fall is 1 meter then we have to determine the length of the horizontal span.

Therefore, $\tan 1^{\circ} = \frac{1}{H}$ , where H is the length of the horizontal span.

⇒ $H = \frac{1}{\tan 1^{\circ}} = 57.29$ meters.

Therefore, a gradient of 1° represents a rise or fall of 1 meter in a horizontal distance of 57.29 meters. (Answer)