1 Answer

Abha · Answer 1 · 2023-08-13T03:23:52+0000

We need to convert 135.28º in degree, minute, and second measure.

In order to do so, notice that:

$135.28\degree=135\degree+0.28\degree$

Also,

$1\degree=60^(\prime)$

Thus, we have the proportion:

degrees minutes

1 60

0.28 x

Then:

$x=0.28\cdot60=16.8$

Thus:

$0.28\degree=16.8^(\prime)=16^(\prime)+0.8^(\prime)$

Now, notice that:

$1^(\prime)=60^(\doubleprime)$

Thus, we have the proportion:

minutes seconds

1 60

0.8 y

Then:

$y=0.8\cdot60=48$

Therefore:

$135.28\degree=135\degree16^(\prime)48^(\doubleprime)^{}$

And the first option is correct.

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