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Answer to Question #20451 in Analytic Geometry for Caleb Stamper

Question #20451
x represents the length of a ladder leaning up against a wall of a building, and y represents the length from the base of the wall to the bottom of the ladder. The ladder makes a 60 degree angle with the ground and reaches a point on the wall 17 feet above the ground. Find the number of feet in x and y. Round to the nearest tenth of a foot.
Here is the expression that relates x, y and &alpha; (angle the ladder makes with the ground):

tg(&alpha;) = y/x (1)

As the ladder reaches a point on the wall 17 feet above the ground, then obviously x = 17[ft]. Therefore,

(1) ==&gt; y = tg(&alpha;)&middot;x = tg(60&deg;)&middot;17[ft] = &radic;3&middot;17[ft] &asymp; 29.4[ft].

So, x value is 17 feet and the y value is about 29.4 feet.

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