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Jedediah Rutherford

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3y ago
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10y ago

The answer is 24 tan(9.5).

Think of the ladder as an isosceles triangle. In order to use trigonometric functions on it, it has to be split into two right triangles, each with hypotenuse 12 and top angle 9.5 (half of the original angle.) Take the tangent of that angle and multiply it by twelve (the hypotenuse) and two (re-adding the two halves of the triangle) and you find the length of the base - which is ~ 4.016 feet.

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Q: How far apart are the legs of 12-foot stepladder if the angle between the legs is 19 degrees?
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