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A rectangular board that measures 2 m wide and 10 m long is leaning against a wall, as shown below. The sun is shining directly above the board.

A) Sketch the shape of the shadow that the board makes on the ground.

B) If the sun's rays are vertical, describe how moving the bottom edge of the board closer to the wall would affect the width and length of the shadow on the ground.

C) How close to the wall should the bottom edge of the board be positioned so that the shadow of the board forms a square? Explain.

D) Find the height at which the top of the board touches the wall when the shadow on the ground is a square. Explain how you found your answer.

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