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It appears to be a question that involves Pythagoras' theorem of a right angle triangle whereas the dotted line represents the hypotenuse and without any relevant information the height of the ladder from the ground can't be worked out.

Q: What is the answer.In this picture the dotted line represents a ladder. How high on the house does the ladder reach?

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First, draw a picture of the situation.Let the length of the ladder be X.Notice that X is the hypotenuse of a right triangle.Notice that the side opposite of the known angle is known.Remember that the sine of an angle is (side opposite)/(hypotenuse), so that sin46o=15'/Xsolving for X gives X=20.85'

No. if the floor is smooth you must have friction between the ladder and the floor, or the ladder would just slide away. Technically you could do without friction between wall and ladder, but even that can be helpful in preventing the ladder from going sideways.

5 meters

15

No. since the ladder must be on an angle it must have room so that the length of the ladder is equal to the 282 + (distance between bottom of ladder and house)2.

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