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In the figure below, segment

`AC`

slices triangle

`ABD`

into two smaller triangles, which is not drawn to scale. Angle

`ABC`

is a right angle, and segment

`AB`

has length 24 , segment

`BC`

has length 7 , and segment

`CD`

has length 20 . Use inverse trignonometric functions to express

`\theta ()/(_(D))=AC`

in radians. Note: Give an exact radian answer. Decimal approximations will be marked incorrect. Symbolic trigonometric expressions such as

`arctan(5)`

are accepted.