I’m selfish, impatient and a little insecure. I make mistakes, I am out of control and at times hard to handle. But if you can’t handle me at my worst, then you sure as hell don’t deserve me at my best. ― Marilyn Monroe
Rearrange into y= ...
3y = 4x +12
y = 4/3x + 4
Gradient of line = gradient of parallel line = 4/3
y-y1=m(x-x1)
y-4=4/3(x+3)
y-4 = 4/3x + 4
y = 4/3x + 8
Option A
Answer:
The answer is "
"
Step-by-step explanation:
Please find the complete question in the attached file.
![\sin \theta = \frac{P}{h}\\\\\to BC =x\\\\\to BD =y\\\\](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%20%3D%20%5Cfrac%7BP%7D%7Bh%7D%5C%5C%5C%5C%5Cto%20BC%20%3Dx%5C%5C%5C%5C%5Cto%20BD%20%3Dy%5C%5C%5C%5C)
The height of tower (AB) = 300 ft
Distance = CD
![\Delta ABC \\\\\sin \theta = \frac{AB}{AC}\\\\\sin (2.5) = \frac{300}{AC}\\\\Ac= \frac{300}{\sin (2.5)}\\\\AC= 6877.68 \\\\\Delta ABD \\\\\sin \theta = \frac{AB}{AD}\\\\\sin (1.3) = \frac{300}{AD}\\\\AD= \frac{300}{\sin (1.3)}\\\\AC= 1322.33](https://tex.z-dn.net/?f=%5CDelta%20ABC%20%5C%5C%5C%5C%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAB%7D%7BAC%7D%5C%5C%5C%5C%5Csin%20%282.5%29%20%3D%20%5Cfrac%7B300%7D%7BAC%7D%5C%5C%5C%5CAc%3D%20%5Cfrac%7B300%7D%7B%5Csin%20%282.5%29%7D%5C%5C%5C%5CAC%3D%206877.68%20%5C%5C%5C%5C%5CDelta%20ABD%20%5C%5C%5C%5C%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAB%7D%7BAD%7D%5C%5C%5C%5C%5Csin%20%281.3%29%20%3D%20%5Cfrac%7B300%7D%7BAD%7D%5C%5C%5C%5CAD%3D%20%5Cfrac%7B300%7D%7B%5Csin%20%281.3%29%7D%5C%5C%5C%5CAC%3D%201322.33)
calculating CD
:
![CD^2 = AC^2 +AD^2 -2\cdot AC \cdot AD \cdot \cos(117^{\circ}) \\\\CD = \sqrt{(6877.68)^2 +(13223.23)^2 -2\cdot (6877.68) \cdot (13223.23) \cdot \cos(117^{\circ})}\\\\CD =\sqrt{47302482.1824 + 174853811.6329 - 82576463.207}\\\\CD= \sqrt{304732757.02}\\\\CD= 17456.6 \ ft](https://tex.z-dn.net/?f=CD%5E2%20%3D%20AC%5E2%20%2BAD%5E2%20-2%5Ccdot%20AC%20%5Ccdot%20AD%20%5Ccdot%20%5Ccos%28117%5E%7B%5Ccirc%7D%29%20%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B%286877.68%29%5E2%20%2B%2813223.23%29%5E2%20-2%5Ccdot%20%286877.68%29%20%5Ccdot%20%2813223.23%29%20%5Ccdot%20%5Ccos%28117%5E%7B%5Ccirc%7D%29%7D%5C%5C%5C%5CCD%20%3D%5Csqrt%7B47302482.1824%20%2B%20174853811.6329%20-%2082576463.207%7D%5C%5C%5C%5CCD%3D%20%5Csqrt%7B304732757.02%7D%5C%5C%5C%5CCD%3D%2017456.6%20%5C%20ft)
If the line goes through the vertical line, that’s your y intercept. Just find the number that it crosses and that your intercept.