To find the equation for the line in slope-intercept form y= mx + b, perpendicular to the line shown and passing through (6, -6):
The slope of the blue line is the rise (change in y) divided by run (change in x)
Choosing two points on the line (0, -6) and (2,0)
Slope = (0 - (-6)) / (2 - 0) = 6 / 2 = 3
The slope of our perpendicular line will be the opposite inverse, so:
m = -1/3
We have the point (6, -6) so we can solve for b
y = mx + b
-6 = (-1/3)*6 + b
-6 = -2 + b
b = -4
We know that m= (-1/3) and b= -4, so:
y = (-1/3)x - 4
This is definitely the correct answer. None of the above answers describe the line that is perpendicular to the blue line and passes through (6, -6). Make sure you wrote the options down correctly.
Answer:
c
Step-by-step explanation:
I think its c but I could be wrong
If the number is greater than 1, that means that it will be larger than 3/5. 3/5 * 1 = 3/5.
Answer:
The height of tree is approximately 121.5 feet.
Step-by-step explanation:
We are given following in question:
Length of shadow = 150 feet
Angle of elevation of the sun =

The tree and the shadow forms a right angled triangle.
Thus, with the help of trigonometric relation, we can write:

Let x feet be the height of tree.
Putting all the values, we get,

Thus, the height of tree is approximately 121.5 feet.
Answer:
A=right
B=obtuse
C=acute
D=obtuse
Step-by-step explanation: