By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.
How to calculate the length of CE?
In order to determine the length of side CE, we would apply the law of cosine because both side CE and side BC respectively represent the adjacent side and hypotenuse of right-angled triangle BCE.
cos(θ) = Adj/Hyp
Where:
- Adj is the adjacent side of a right-angled triangle.
- Hyp is the hypotenuse of a right-angled triangle.
Substituting the parameters into the formula, we have;
cos(θ) = CE/BC
cos(11.46) = CE/9.41
Cross-multiplying, we have:
CE = 9.41 × cos(11.46)
CE = 9.41 × 0.9801
CE = 9.22 cm.
By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.
Read more on law of cosine here: brainly.com/question/27613782
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