Answer:
The rate of plane in still air is 834 km/hr and the rate of wind is 80 km/hr.
Step-by-step explanation:
The airplane travels 6032 km in 8 hours against the wind.
So,
........ (1) {Where u is the speed of plane in still air and v is the wind speed}
Again, the airplane travels 7312 km in 8 hours with the wind.
So,
........ (2)
Now, adding equations (1) and (2) we get,
2u = 1668
⇒ u = 834 km per hour.
So, from equation (1), we get
v = u - 754 = 834 - 754 = 80 km per hour.
Therefore, the rate of the plane in still air is 834 km/hr and the rate of wind is 80 km/hr. (Answer)
Answer:

Step-by-step explanation:
Given:
Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).
So, the 'x' value is 3 and 'y' value id -4.
Using Pythagoras Theorem, we find the hypotenuse.
Hypotenuse = 
Now, using the sine ratio for the angle, we have

Therefore, the value of
is
.
The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,
Answer:
H=7
Step-by-step explanation: