Question

The solution to tan 34' 15'=x/12 is a linear measurement.

True or False?

Answer 1

That answer is absolute true!!!!!

Answer 2

True.

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

`tan 34'15''=(x)/(12)`

`tan\theta=(perpendicular)/(base)`

Therefore, height of triangle =x, base of triangle= 12 units

We change 15 seconds into minutes

1 minute =60 seconds

`\therefore 15 seconds=(15)/(60)=(1)/(4) minutes`

Now add 34' to
`(1)/(4)` minutes then we get

`34+(1)/(4)=(136+1)/(4)=(137)/(4) minutes`

Now , we changing minutes into degree

1 degree= 60 minutes

Therefore ,
`(137)/(4) minutes = (137)/(240)=0.5708 degrees`

`tan(0.5708^(\circ))=(x)/(12)`

`0.00996=(x)/(12)`

`x=12* 0.00996=0.11952=0.1195`

By cross multiply

`x=0.1195 units`

Height =x=0.1195 units

It is linear measurement.

Therefore, it is true.