Answer:
sin = opp/hyp
height = opp side
hyp = length of string
sin65 = height / 500
multiply both sides by 500
500 * sin 65 = height
use calculator
453.153893518324982 = height
~ 453 feet
ANSWER
The discriminant is -3
EXPLANATION
The given quadratic equation is:

Comparing this equation to:

we have
a=1, b=3, and c=-6
The discriminant is calculated using the formula,

We substitute the values to get:



Complementary angles, sum = 90
So 3y - 4 + 73 = 90
3y + 69 = 90
3y = 21
y = 7
Answer
y = 7
I believe no, it would have to be x = -6.5