AD is perpendicular to BC so slope Ad = -1/slope of BC
Slope of BC = (2 - (-1)) / (- 6- 3) = 3 / -9 = -1/3
So slope of AD = -1 / (-1/3) = -3/-1 = 3 Answer
Answer:
B. is your answer.
Step-by-step explanation:
1. You have the following information:
Sinx=5/13
Cosx=12/13
2. By definiton, you have:
Tanx=(Senx)/(Cosx)
3. When you susbtitute Senx=5/13 and Cosx=12/13 into Tanx=(Senx)/(Cosx), you obtain:
Tanx=(Senx)/(Cosx)
Tanx=(5/13)/(12/13)
Tanx=(5)(13)/(13)(12)
Tanx=65/156
4. Therefore, the answer is;
Tanx=65/156
Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.



PR = 
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.