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26 November, 08:25

A wooden plank is leaning against an outside wall of a building. The bottom of the plank is 3 ft from the wall. Find each of the following values, and show all your work.

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  1. 26 November, 08:46
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    (A) Find the approximate length of the plank. Round to the nearest tenth of a foot.

    Given that the distance of the ground is 3ft.

    In order to get the length of the plank,

    we can use the this one.

    cos 49 = ground / plank

    cos 49 = 3 / plank

    plank = cos 49 / 3

    plank = 0.10 ft

    (b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

    The remaining angle is equal to

    angle = 180 - (90+49)

    angle = 41

    Finding the height.

    tan 41 = height / ground

    tan 41 = height / 3

    height = tan 41 / 3

    height = 0.05 ft.

    (A) 0.10 feet

    (B) 0.05 feet
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