chrissykaowingting
chrissykaowingting chrissykaowingting
  • 18-03-2020
  • Mathematics
contestada

The figure show a cuboid ABCDEFGH, BC is8 cm and EH is 3 cm. Find the angle ACF, correct to 3 significant figures ​

The figure show a cuboid ABCDEFGH BC is8 cm and EH is 3 cm Find the angle ACF correct to 3 significant figures class=

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fam8357
fam8357 fam8357
  • 18-03-2020

Answer:

19.3 degrees

Step-by-step explanation:

The diagonal AC of the rectangle can be found using the Pythagorean Theorem.

8^2 + 3^2 = 73

The square root of 73 = 8.544...

Using this length and the length of FA (which is 3 cm), we can use the inverse of tangent to find the angle.

tangent of the angle = 3 cm/8.544 cm

inverse tangent of (3/8.544) = 19.347...

Hope this helps!

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