A dip circle shows an apparent dip of `45^(@)` at a place where the true dip is `30^(@)` . If the dip circle is rotated through `90^(@)`, what apparent dip will it show?

Explanation

`theta_(1) and theta_(2)` are the angles of dip in two arbitary planes which are perpendicular to each other.
`Here " " theta_(1)=45^(@) and theta=30^(@)`
`As " " cot^(2) theta_()=cot^(2) theta_(1)+cot^(2) theta_(2)`
Where `theta` is true dip.
`therefore " " cot^(@)30^(@)=cot^(@)45^(@)+cot^(2)theta_(2)`
`" " cot^(2)theta_(2)=3-1=2 Rightarrow cot theta_(2)=1.414 therefore theta_(2)=35.2`