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Answered

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The diagram shows a wedge ABCDEF.

The base of the wedge is a horizontal rectangle measuring 60cm x 40cm

The Diagram Shows A Wedge ABCDEF The Base Of The Wedge Is A Horizontal Rectangle Measuring 60cm X 40cm class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  77.3 cm

Step-by-step explanation:

The distance FA is the diagonal of rectangle ABFE. We know the length AB, so we need to find the length BF. That is found using the trig relation ...

  cos(25°) = BC/BF

  BF = BC/cos(25°) ≈ (60 cm)/0.906308 ≈ 66.203 cm

Then the diagonal length FA is found using the Pythagorean theorem:

  FA = √(AB² +BF²)

  FA = √(40² +66.203²) ≈ √5982.79 ≈ 77.349 . . . cm

The diagonal length FA is about 77.3 cm.

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