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2 answers:
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Answer:
The speed in of the plane is 115.47 m/sec
Step-by-step explanation:
Given:
Height at which the plane is flying = 6000 m
Angle of elevation at the radar base = 30 Degrees
Angle of elevation at the radar base after one minute = 60 Degrees
To Find:
The Speed of the plane in meter per second = ?
Solution:
Let us use the tangent of the angle to find the distance (d) to a point directly below plane:
<u>when the angle is 30 degrees</u>
d1 = 10392.3 meters
<u>when the angle is 60 degrees</u>
d2 = 3464.1 meters
<u>distance travelled by aircraft in 1 min is </u>
=>d1 - d2
=>0392.3 - 3464.1
= 6928.2 m/min
<u>Now converting to m/sec</u>
=>
=>115.47 m/sec
The horizontal distance to the control tower is approximately 18506.83m
Data;
- distance from the ground = 3900m
- angle of elevation = 11.4 degrees
- horizontal distance = ?
To solve this problem, we need to use trigonometric ratio SOHCAHTOA.
In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.
The horizontal distance to the control tower is approximately 18506.83m
Learn more on trigonometric ratio here;
Answer:
44
Step-by-step explanation:
Given:
Required:
Average range of change from 3 to 9
SOLUTION:
Step 1:
Find f(3) and f(9):
To find f(3), replace x with 3 in the given function
To find f(9), replace x with 9 in the given function
Average rate of change =
Where,
Plug in the values into the formula for average rate of change.
Average rate of change = 44