Answer:
True.
Step-by-step explanation:
Linear measurement : It is defined as the measurement of length.It also measure thickness, height and diameter. It is can be measured in meter, inches, centimeter, feet etc.
We are given that
[tex]tan 34'15''=\frac{x}{12}[/tex]
[tex]tan\theta=\frac{perpendicular}{base}[/tex]
Therefore, height of triangle =x, base of triangle= 12 units
We change 15 seconds into minutes
1 minute =60 seconds
[tex] \therefore 15 seconds=\frac{15}{60}=\frac{1}{4} minutes[/tex]
Now add 34' to [tex]\frac{1}{4} [/tex] minutes then we get
[tex] 34+\frac{1}{4}=\frac{136+1}{4}=\frac{137}{4} minutes [/tex]
Now , we changing minutes into degree
1 degree= 60 minutes
Therefore , [tex] \frac{137}{4} minutes = \frac{137}{240}=0.5708 degrees[/tex]
[tex] tan(0.5708^{\circ})=\frac{x}{12}[/tex]
[tex] 0.00996=\frac{x}{12}[/tex]
[tex]x=12\times 0.00996=0.11952=0.1195[/tex]
By cross multiply
[tex] x=0.1195 units[/tex]
Height =x=0.1195 units
It is linear measurement.
Therefore, it is true.
