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1 answer:
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9514 1404 393
Answer:
x = √(w(w+z))
Step-by-step explanation:
The idea with a right-triangle figure of this sort is that all of the triangles are similar. Here, x is the short side of ∆ABC, and the hypotenuse of ∆BDC. This suggests you want to write a similarity statement involving the short side and hypotenuse.
BC/AC = DC/BC . . . . . short side/hypotenuse
BC² = AC·DC . . . . . . cross multiply
x² = (w+z)w . . . . . . substitute letter values
Taking the square root and rearranging to the form of the applicable answer choice, this is ...
Answer:
x = 19.6
Step-by-step explanation:
By applying cosine rule in ΔBCD,
cos(30)° =
=
BC =
Now, by applying sine rule in ΔBAC,
sin(45)° =
x =
x = 19.59
x ≈ 19.6