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.
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
A 12-foot extension ladder, when fully extended, reaches a maximum height of approximately 12 feet. However, the actual reach can be affected by the angle at which the ladder is placed against a wall or surface. Generally, to ensure safety and stability, it is recommended to set the ladder at a proper angle, which might reduce the vertical reach slightly.
27
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
18
A 12-foot extension ladder, when fully extended, reaches a maximum height of approximately 12 feet. However, the actual reach can be affected by the angle at which the ladder is placed against a wall or surface. Generally, to ensure safety and stability, it is recommended to set the ladder at a proper angle, which might reduce the vertical reach slightly.