The length of the hypotenuse of the triangle to the nearest tenth is 4.1 inch and it can be determine by using the trignometry function.
Given :
A right triangle has one side that measures 4 in and the angle opposite that side measures [tex]80^\circ[/tex].
To determine the length of the hypotenuse of the triangle, trignometry function can be use.
[tex]\rm sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\rm sin(80^\circ)=\dfrac{4}{Hypotenuse}[/tex]
[tex]\rm Hypotenuse = \dfrac{4}{sin(80^\circ)}[/tex]
Hypotenuse = 4.0617 inch.
The length of the hypotenuse of the triangle to the nearest tenth is 4.1 inch.
For more information, refer the link given below:
https://brainly.com/question/21286835
