Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
Answer:
A
Step-by-step explanation:
<u>Slope- intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept.
The given equation is in the slope-intercept form and hence we can easily identify its slope by looking at the coefficient of x.
y= 2x +7
slope= 2
Parallel lines have the same slope, thus the slope of the parallel line is also 2.
Substitute m= 2 into the general equation:
y= 2x +c
Substitute a pair of coordinates into the equation to find the value of c:
When x= 3, y= 11,
11= 2(3) +c
11= 6 +c
c= 11 -6
c= 5
Therefore the equation of the line is y= 2x +5.
Add all numbers and divide the total by how many numbers there are
Answer:
not a function
Step-by-step explanation:
3 - 2 = 1
2 - 5 = -3
5-6 = -1
6-7 = -1