Respuesta :

Given:

In triangle WXY, [tex]m\angle W=90^\circ, WX=8, XY=17, WY=15[/tex].

To find:

The Cotangent of [tex]\angle X[/tex].

Solution:

In a right angle triangle,

[tex]\cot \theta=\dfrac{Base}{Perpendicular}[/tex]

It can be written as:

[tex]\cot \theta=\dfrac{Adjacent}{Opposite}[/tex]

For triangle WXY,

[tex]\cot (\angle X)=\dfrac{WX}{WY}[/tex]

[tex]\cot (\angle X)=\dfrac{8}{15}[/tex]

Therefore, the Cotangent of [tex]\angle X[/tex] is [tex]\dfrac{8}{15}[/tex].

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