Answer:
The pole is 6 feet tall.
Step-by-step explanation:
The height makes the perpendicular and the shadow makes the base of the triangle in the given question
Pole Mary
Height x 4
Shadows 15 10
If the height is taken along y- axis and shadow is taken along x axis
Then
tan alpha = Perpendicular/ base
for Mary Tan alpha = 4/10
For the pole = tan alpha = x/15
Comparing x/15= 4/10
x= 4*15/10= 60/10= 6
The pole is 6 feet tall.
This represents the function : y = log₆ (x).
Proof:
Rewrite this logarithmic function into an exponential form:
y = log₆ (x) ↔ x = 6^y
On the graph we see 2 major points A(1,0) and B(6,1). Plug them in x=6^y
1 = 6⁰ = 1 (true)
6 = 6¹ True, then this confirm that the graph equation is y = log₆ (x)
1. x + y = 8 would be x= -y+8
2. x - y = 6 would be x= y+6
Hope this helps
The Greatest Common Factor would be 5xy^2.
