A road has a steady gradient of 1 in 10. What angle does the road make with the horizontal? Give your answer to the nearest degree.

Gradient is the ratio of  height over the horizontal
distance.

A gradient of 1 in 10 means  that for every 10
meter of horizontal movement  we go by a height of one
meter.

We measure the gradient as the tangent of an angle.
The angles are measured in degrees or  radians. The tagent ratio of an angle ina right
angled triangle is the ratio of the opposite side to the adjascent side  of the
angle.

Thus if the section  has the gradient of 1/10,  it
is equivalent to thetangent ratio of angle A of a right angled triangle whose right
angle making sides are AB=  10 and BC = 1.

Therefore, by
trigonometry, tanA = 1/10.

Or angle = arc tangent
(1/10).

Therefore x = 5.7106 degree nearly (by 
calculator).

Hope this helps.