A 10 ft. ladder is leaning against a building and makes an angle of 65 degrees with the ground. How high above the ground is the top of the ladder?

Answer 1

Draw a right triangle, with 65° with the horizontal.
The ladder is the hypotenuse, and the wall is the opposite side of the 65° angle.

The height of the top of the ladder is therefore
h=Lsin(65°)
where L is the length of the ladder.

Answer 2

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