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How high would a 10 ft ladder reach a side of building if the ladder is set 60 degree above the ground?
Wiki User
∙ 12y ago
70
Armand Stiedemann
Wiki User
∙ 12y agoYou cannot set a ladder 60 degrees above the ground
Anonymous
I believe that you're asking how high up the side of a building could a ladder reach if it was leaning against a building with the base of the ladder making a 60 degree internal angle from the ground.
If that's the case, you answer is 8.66 ft. Using trigonometric principles for right triangles, we know the hypotenuse (10 ft) and two* of the angles in the triangle (the 60 degrees between the ladder and the ground, and the 90 degrees between the ground and the building). From there, we can use the sine function (SIN on the calculator) to get ratio. Then, we would multiply the ratio by the hypotenuse to get our answer.
Here, we'd enter 60 into our calculator and hit the SIN button to get .866 (rounded). Then we just multiply by 10, and get our answer of 8.66 (rounded).
*Technically, if we know two angles in a triangle, we know all three because all angles in right triangles always add up to 180 degrees. So if you wanted to check yourself, you could use the 'unknown' angle and use the cosine function (COS), then multiply by the hypotenuse to verify.
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20
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