Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
True, if you see the picture of a triangle with altitudes, the lines are drawn on the inside. Hope that helps!)
Answer: 10 1/2, which can be simplified as 10.5
Explanation: First, set up a proportion with acres of corn to time in hours:
8 3/4 acres = x acres
5/6 hour = 1 hour
Reorder the terms:
x = (8 3/4) / (5/6)
To figure that out the math, change the mixed fraction to an improper fraction, and change the division into a multiplication:
x = (35/4) * (6/5)
Next cancel out:
x = (7/2) * (3/1)
x = 21/2
Lower that faction the the lowest denominator:
21/2 = 10½
Thus, your answer is 10½, or in other words 10.5
Hope this helps! :)
