Domain is x and range is y
y = 218.2. The lenght of side y by trigonometry is 218.2.
In order to solve this problem we are going to use the angles and sides of a right triangle and its relation by expressions that we call trigonometric ratios.
In the image we can see that the lenght of the opposite leg is 141 , we do not know the lenght of the adjacent leg y and the hypotenuse x. The key to solve this problem is to use trigonometric ratios and the equation tan θ = sin θ/cos θ = opposite leg/adyacent leg = 141/y
Clear for y for the equation tan θ = sin θ/cos θ = 141/y, we obtain:
y = arctan θ (141)
y = arctan (43°)(141) = 218.2
we are given point as
(x,y)=(5,7)
translating 3 units to right side
It means we will subtract 3 to x-value
and we get
(x,y)= (5-3,7)
(x,y)=(2,7)
now, it is reflected about x-axis
so, we can change y-value as -y
so, we get our new point as
(x,y)=(2,-7)
now, we have to find it's image reflection
so, we will get
(x',y')=(-7,2).........Answer
2 x 50 = 100
es. the population is 100 in the park
