Respuesta :

Note that 79 degrees 15 minutes = 79.25 degrees.

cos 79.25 degrees = 0.187.

We have to determine the value of [tex] \cos 79^{\circ} 15' [/tex]

Firstly we will find the value of [tex] 79^{\circ} 15' [/tex]

[tex] 79^{\circ} 15' [/tex]

=[tex] 79^{\circ} + 15' [/tex]

Since 1 minute = [tex] \frac{1}{60}^{\circ} [/tex]

[tex] =79^{\circ} + \frac{15}{60}^{\circ} [/tex]

[tex] =79^{\circ} + 0.25^{\circ} [/tex]

[tex] =79.25^{\circ} [/tex]

Now, we have to determine the value of [tex] \cos 79.25^{\circ} [/tex]

Now, we will use calculator to find the value of [tex] \cos 79.25^{\circ} [/tex]

So we get as,

[tex] \cos 79.25^{\circ} [/tex] = 0.1865

= 0.187 (Rounded)