## anonymous one year ago The top of a tree makes angles s and t with Points K and L on the ground, respectively, such that the angles are complementary. Point K is x meters and Point L is y meters from the base of the tree. In terms of x and y, find the height of the tree. Include your work.

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1. anonymous

|dw:1442042431147:dw| use tangent ratio: $\tan (s) = \frac{x}{h}$ $\tan(s) = \frac{h}{y}$ set equal and solve for h $\frac{x}{h} = \frac{h}{y} \rightarrow h^2 = xy$ $h = \sqrt{xy}$