Kyle is pulled back on a swing so that the rope forms an angle of 30° with the vertical. the distance from the top of the swing set directly to the ground is 12 feet. find kyle’s height off the ground x , when he is in the pulled-back position. round the answer to the nearest hundredth.
a.
3.34 feet
b.
3.86 feet
c.
8.56 feet
d.
8.66 feet

each side has a different length.  

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

x = 3 ± √(5+y)

i believe the answers 600m