Harrison has a rectangular plank of wood that is 29 inches long. He creates a ramp by resting the plank against a wall with a height of 14 inches, as shown.
Using Pythagoras' theorem, work out the horizontal distance between the wall and the bottom of the ramp.
Give your answer in inches to 1 d.p.

Answer

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Answer

\(\boxed{25.4}\)

Steps

Step 1 ：Use Pythagorean theorem: \(29^2 = 14^2 + x^2\)

Step 2 ：Solve for x: \(x = \sqrt{29^2 - 14^2}\)

Step 3 ：Calculate x: \(x = 25.39685019840059\)

Step 4 ：Round x to 1 decimal place: \(x = 25.4\)

Step 5 ：\(\boxed{25.4}\)