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In effect you have the outline of aright-angled triangle with an adjacent side of 10 ft and an opposite side of 15 ft and you need to find the length of the hypotenuse (which will be the ladder).

Use Pythagoras' theorem to find the length of the hypotenuse:

adjacent2+opposite2 = hypotenuse2

102+152= 325 square feet

The square root of 325 = 18.02775638 feet

So the ladder needs to be at least 18 feet in length.

Q: If a sign is 35 ft tall and i place a ladder 10 ft from the bottom of the sign how long of a ladder will i nedd to reach 15 ft up the sign?

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Then an angle of 58 degrees will be at the bottom of the ladder. Use trigonometry and the sine ratio: sin = opp/hyp and hyp = opp/sin hyp = 20/sin(58) = 23.58356807 length of ladder = 24 feet to the nearest foot

The ladder forms the hypotenuse (r) and the wall forms the vertical (y) of a right triangle. sin theta = y / r the angle at the bottom is (90 - 32) = 58 sin 58 = 20 / r r = 20 / sin 58 = 23.583568067241928552025478405751 feet ladder must be about (rounding) 23.6 feet long.

c2=a2+b2102=62+b2100=36 + b2b2=64b=8

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A ladder leaning against a 20ft wall, with an angle of 32 degrees with respect to the wall, must be 24ft long. cos(theta) = adjacent over hypotenuse cos(32) = 20 / hypotenuse hypotenuse = 20 / cos(32) hypotenuse = 23.58

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he should bud the ladder so it wouldn't be able to reach

that depends on the hieght of the building.

23.53

Then an angle of 58 degrees will be at the bottom of the ladder. Use trigonometry and the sine ratio: sin = opp/hyp and hyp = opp/sin hyp = 20/sin(58) = 23.58356807 length of ladder = 24 feet to the nearest foot

Then an angle of 58 degrees will be at the bottom of the ladder. Use trigonometry and the sine ratio: sin = opp/hyp and hyp = opp/sin hyp = 20/sin(58) = 23.58356807 length of ladder = 24 feet to the nearest foot

Hypotenuse = 20/sin580 = 23.58356807 Length of ladder: rounded to 23.584 feet

The ladder forms the hypotenuse (r) and the wall forms the vertical (y) of a right triangle. sin theta = y / r the angle at the bottom is (90 - 32) = 58 sin 58 = 20 / r r = 20 / sin 58 = 23.583568067241928552025478405751 feet ladder must be about (rounding) 23.6 feet long.

15 meters, or less, depending on the angle.

c2=a2+b2102=62+b2100=36 + b2b2=64b=8

Twenty divided by the cosine of 32 gives you 23.584 ft

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