Answer:180.1 feet
Step-by-step explanation:
Using tan to find the answer; Opposite/Adjacent = 62/x
tan19=62/x
xtan19=62 (cross multiply)
xtan19/tan19=62/tan19 (Divide each side by tan19)
x=62/tan19=180.0611=180.1 feet
Children : 144
Adults : 51
Explanation
Step 1
Set the equations
let
x represents the number of children
y represents the number of adults
charge per child:8
charge per adult:11
total people:195
then
a)the total people is 195, so

b) the total bill was $1713,so
total childrend +total adults=173
but,
total adults cost= rate*number of adults
total children cost= rate*number of childe
replacing

Step 2
solve the equations,

a) isolate the x value from equation 81) and replace in eqaution (2)

replace in equation (2)

therefore, the number of adults is 51
b) now, replace the y value into equation (1) to find x

so, the number of children is 144
I hope this helps you
1. 62 and (4x+2) are alternating interior angles and they are equal
so
62 = 4x+2 now solve for x
2. vertical angles are straight across from each other
1 and 4
2 and 3
5 and 8
7 and 6
Alternate interior : alternate (or cross) the Transversal and are interior (inside) and are equal
4 and 5, 3 and 6
Corresponding are the angles in matching corners
1 and 5, 2 and 6, 3 and 7, 4 and 8
Alternate exterior : alternate (or cross) the Transversal and are exterior (outside)
2 and 7, 1 and 8,
Negative numbers are less than positive numbers
Scale Factor=4
I just counted how many units GF was and I came out with 5. Then I looked at the length of G’F’ and saw that it was at 20 units. 20/5=4