It is known that there exists a uniform electric field in a certain region. Imagine an incline plane (figure) in the region which is inclined at `theta=37^(@)` to the horizontal when one moves horizontally along the incline from A to B (AB=1cm), the electric potential decreases by 10V. Similarly, potential at C(AC=1cm) is less than potential at A by 10 V where line AC lies on the incline and is perpendicualr to AB. When one moves vertically up from point A to a point D(AD=1cm), the potential drop by 10 V again. Find the magnitude of the electric field in the region and the angle that it makes with vertical [given `sin37^(@)=(3)/(5)`]

Answer

`E=15V//cm;cos^(-1)((2)/(3))`