Q: A ladder is leaned against a wall at an angle of elevation of 46 degrees The top of the ladder reaches the wall at 15 feet How long is the ladder?

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It can be any angle that is more than zero degrees and less than 90 degrees. <><><> It will be an ACUTE angle, and if the ladder is placed properly (1 ft out for each 4 ft up) the angle between wall and ladder will be ABOUT 18 degrees.

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15*cos(60) = 7.5 7.5 m

Providing that the ground is level and that the wall is straight, you have the outline of a right angled triangle with an adjacent angle of 73 degrees and an adjacent length of 1.17 metres. In order to find the length of the hypotenuse (which is the ladder itself) we use the cosine ratio: cosine = adjacent/hypotenuse Which when rearranged is: hypotenuse = adjacent/cosine hypotenuse = 1.17/cosine73 degrees = 4.001755235 So the length of the ladder is 4 metres correct to one significant figure.

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112

It can be any angle that is more than zero degrees and less than 90 degrees. <><><> It will be an ACUTE angle, and if the ladder is placed properly (1 ft out for each 4 ft up) the angle between wall and ladder will be ABOUT 18 degrees.

18

15*cos(60) = 7.5 7.5 m

115

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Round the base angle to 70 degrees and use the sine ratio: 30*sine 70 degrees = 28.19077862 feet Height of ladder from the ground = 28 feet to 2 s.f.

The preposition in the sentence is "against." The ladder was leaning against the roof.

The ladder forms a right angle with the building: the ground and the building forming the right angle and the ladder forming the hypotenuse. If the length of the ladder is L metres, then sin(49) = 12/L So L = 12/sin(49) = 15.9 = 16 metres.

No, it's not physically possible to put a ladder to the sun and climb up to it. The sun is incredibly far away, with a surface temperature of around 5,500 degrees Celsius. It's also not a solid object but a ball of gas, so a ladder would not be able to support any weight on its surface.

The ladder's weight does not affect the friction force between the ladder and the wall. The friction force is the horizontal component of the normal force acting on the ladder, which is equal to mass * gravity * cosine(angle). In this case, it would be (80 kg + 20 kg) * 9.81 m/s^2 * cos(60 degrees).

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