To find the size of angle BHF, we first need to find the length of BF.
In a rectangular prism, all opposite sides are equal in length. So, EF = HG = 5cm and FG = AE = 8cm.
Since BF = 6cm, we have a right-angled triangle BHF with sides of length BF, FH, and BH. We can use the Pythagorean theorem to find the length of FH:
FH^2 = BF^2 + BH^2
FH^2 = 6^2 + 8^2
FH^2 = 36 + 64
FH^2 = 100
FH = 10cm
Now that we have found the length of FH, we can find the size of angle BHF using trigonometry.
tanBHF = FH / BF
tanBHF = 10 / 6
tanBHF = 5/3
Therefore, angle BHF = tan^(-1)(5/3) ≈ 59.04 degrees
Therefore, the size of angle BHF is approximately 59.04 degrees.
In the rectangular prism ABCDEFGH,with sides EF=5cm ,FG=8cm and BF=6cm, find the size of angle BHF
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