Answer:
![AB=√(3)\ in](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4qwm8kt70umy3o5yuwexk4tq8d97xdt2lu.png)
Explanation:
The correct question is
The diagonal of rectangle ABCD measures 2 inches in length.
What is the length of line segment AB?
The picture of the question in the attached figure
we know that
In the right triangle ABD
----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
![cos(30^o)=(AB)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/612dl3hff3bysbthvak42mqbbzo18i0jbe.png)
Remember that
![cos(30^o)=(√(3))/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9156f289lq4e9gwho39aktb1hmyto5cchj.png)
so
![(AB)/(2)=(√(3))/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7f04efpfgu8drb2l4jf2u3yjlf0kz8i0y7.png)
![AB=√(3)\ in](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4qwm8kt70umy3o5yuwexk4tq8d97xdt2lu.png)