The distance Jen is from the base of the lighthouse is 86.6 meters.
Trigonometric ratio is used to show the relationship between the sides of a and angles of a right angled triangle.
Let d represent the distance Jen is from the base of the lighthouse.
Using trigonometric ratios:
[tex]tan(30)=\frac{50}{d} \\\\d=\frac{50}{tan(30)} \\\\d=86.6\ m[/tex]
The distance Jen is from the base of the lighthouse is 86.6 meters.
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