Answer:
Submit a better photo, its to blurry to read
Step-by-step explanation:
Answer:
B is the best answer
The question is illustrated with the attached figure.
Required
Determine XY
To solve for XY, we make use of the tan function, which states that:
tan\theta = \frac{Opposite}{Hypotenuse}tanθ=
Hypotenuse
Opposite
In this case:
tan\ 60= \frac{YZ}{XY}tan 60=
XY
YZ
Substitute 4 for YZ
tan\ 60= \frac{4}{XY}tan 60=
XY
4
Make XY the subject
XY= \frac{4}{tan\ 60}XY=
tan 60
4
tan\ 60 =\sqrt 3tan 60=
3
So, the expression becomes:
XY = \frac{4}{\sqrt 3}XY=
3
4
Rationalize:
XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}XY=
3
∗
3
4∗
3
XY = \frac{4\sqrt 3}{3}XY=
3
4
3
The first thing you should see in this case is that the triangles are proportional.
We have then that:
((a) / (c)) = ((d) / (a))
Step 1:
Go a multiplying:
((a) / (c)) * (a) = (d)
Step 2:
Pass c multiplying:
(a) * (a) = (d) * (c)
Step 3:
Same basis, exponents are added:
a ^ (1 + 1) = (d) * (c)
Step 4:
a ^ 2 = c * d
Finally
((a) / (c)) = ((d) / (a)) -------> a ^ 2 = c * d
