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Tresset [83]
1 year ago
12

Having trouble solving this problem from my ACT prep bookIt is trigonometry

Mathematics
1 answer:
Reptile [31]1 year ago
5 0

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:

<em>degrees minutes</em>

<em> 1 60</em>

<em> 0.28 x</em>

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:

<em>minutes seconds</em>

<em> 1 60</em>

<em> 0.8 y</em>

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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