Question

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

Answer 1

Answer:

so the correct answer is 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

tan 34'15''=\frac{x}{12}tan34

′

15

′′

=

12

x

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

We change 15 seconds into minutes

1 minute =60 seconds

\therefore 15 seconds=\frac{15}{60}=\frac{1}{4} minutes∴15seconds=

60

15

=

4

1

minutes

Now add 34' to \frac{1}{4}

4

1

minutes then we get

34+\frac{1}{4}=\frac{136+1}{4}=\frac{137}{4} minutes 34+

4

1

=

4

136+1

=

4

137

minutes

Now , we changing minutes into degree

1 degree= 60 minutes

Therefore , \frac{137}{4} minutes = \frac{137}{240}=0.5708 degrees

4

137

minutes=

240

137

=0.5708degrees

tan(0.5708^{\circ})=\frac{x}{12}tan(0.5708

∘

)=

12

x

0.00996=\frac{x}{12}0.00996=

12

x

x=12\times 0.00996=0.11952=0.1195x=12×0.00996=0.11952=0.1195

By cross multiply

x=0.1195 unitsx=0.1195units

Height =x=0.1195 units

It is linear measurement.

Therefore, it is true.

Hope it helps you a lot

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