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Find the cosine of each acute angle in the triangle below. Select all that apply.

Find The Cosine Of Each Acute Angle In The Triangle Below Select All That Apply class=

Sagot :

In the given triangle by using Pythagoras theorem ,

[tex]\begin{gathered} 17^2=x^2+8^2 \\ x^2=17^2-8^2 \\ x^2=\text{ 289 - 64} \end{gathered}[/tex]

Further,

[tex]\begin{gathered} x^2\text{ = 225} \\ x\text{ = }\sqrt[]{225} \\ x\text{ = 15 units } \end{gathered}[/tex]

Cosine of the acute angle is calculated as,

[tex]\begin{gathered} \cos (\theta_1)\text{ = }\frac{15}{17} \\ \end{gathered}[/tex]

and

[tex]\cos (\theta_2)\text{ = }\frac{8}{17}[/tex]

Thus the required answer is ,

[tex]\begin{gathered} \cos (\theta_1)\text{ = }\frac{15}{17} \\ \cos (\theta_2)\text{ = }\frac{8}{17} \end{gathered}[/tex]

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