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A hiker stops to rest and sees a deer in the distance. If the hiker is 48 yards lower than the deer and the angle of elevation from the hiker to the deer is 15°, find the distance from the hiker to the deer.

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cjmejiab

According to the attached graph, we can see that the hypotenuse is the variable to find. We have the Angle and the height therefore through the Sin[tex]\theta[/tex] we can identify the distance of the slope, that is to say

[tex]sin\theta = \frac{AB}{AC}[/tex]

[tex]sin(15)=\frac{48}{AC}[/tex]

[tex]AC = sin(15)(48)[/tex]

[tex]AC = 185.5Yards[/tex]

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