Answer:
The distance between the tree and the tower is 18.48 meters.
Step-by-step explanation:
We are given the following information in the question:
Height of tower = 30 m
Height of man = 2 m
Angle of depression = 30 degrees
We have to find the distance between the tree and the tower.
The attached image shows the scenario.
Formula:
Thus, the distance between the tree and the tower is 18.48 meters.
Solution:-
It is given that the points (x,y) be equidistant from the points A(a+b,b-a) and B(a-b,a+b).
PA=PB
Take square both side,
PA^2=PB^2
Now use distance
formula ,
{x-(a+b)}^2+{y-(b-a)}^2={x-(a-b)}^2+{y-(a+b)}^2
=>x^2+(a+b)^2-2x(a+b)+y^2+(b-a)^2-2y(b-a)y=x^2+(a-b)^2-2x(a-b)+y^2+(a+b)^2-2y(a+b)
=>2x(a-b)-2x(a+b)=2y(b-a)-2y(a+b)
=>2x{a-b-a-b}=2y{b-a-a-b}
=>2x(-2b)=2y(-2a)
=>bx=ay
Hence, it is proved.
Answer:
7*12= 84
Step-by-step explanation:
Hope this helps.
Answer:
2h
Step-by-step explanation:
35+35=70×2=140
45+15=60×2=120
the times 2 equals the #of hours
so in 2hours grayson charges more than Ian
Answer:
y = 2x/3 + 10 ; C
Step-by-step explanation:
To write the equation of a straight line, we have the general form as;
y = mx + b
where m is the slope and b is the y intercept
Mathematically from the equation given, the slope value is 2/3
When two lines are parallel to each other , the value of their slopes are the same
What this mean is that the value of the slope of the second line is 2/3
So we have the second line as;
y = 2x/3 + b
To get the value of b, we use the given point where the line passes through
The given point according to the question is the point (6,14)
so using this coordinates, we have
14 = 2/3(6) + b
14 = 4 + b
b = 14-4
b = 10
So the equation of the new line is;
y= 2/3x + 10
