Book Maths Puzzle Trigonometry

To reach a damsell in distress, a knight places a 13-foot ladder against the castle wall. The base of the ladder is 7 feet less than the distance from the top of the ladder to the ground. How high on the castle will the ladder reach?

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Book Other Question

The width of a rectangle is 45% of the length. If the perimeter of the rectangle is 58cm, find its width. Find the geometric mean of the two numbers 5 and 15. Leave answer in simplest radical form.