The value of the common length BD would be 8 units aprroximately.
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Given information;
1. Considering line BD as a side of ABD, express its length in terms of variables representing side lengths and angle measures in ABD.
So, We know that
Sin A = BD / AB
Sin A = BD / c
c Sin A = BD
Substitute;
(10) Sin (53.13) = BD
BD = 10 ( 0.79)
BD = 7.99
Therefore, the value of the common length BD would be 8 units aprroximately.
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