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