Answer:
Option D. y=6x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<em>Verify each case</em>
case a) y=(1/6)x+6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case b) y=6/x
The equation represent an inverse variation
case c) y=6x-6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case d) y=6x
The equation represent a direct variation
205 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Using the Law of Sines, sina/A=sinb/B=sinc/C (although there are other ways considering that this is a 30, 60, 90 degree triangle with a basic identity) we can say:
97/sin60=x/sin30=y/sin90
x=97sin30/sin60 and y=97sin90/sin60
The total height of the tree is h=x+y so
h=97sin30/sin60 + 97sin90/sin60
h≈168.01 ft (to the nearest hundredth of a foot)
h≈168 ft (to nearest foot)