Answer:
the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds
Step-by-step explanation:
since the line D that starts from the spectator and follows the plane has the following equation
D² = x² + H² , where H= altitude of the plane , x= horizontal distance
then for x=v*t , where v=speed of the plane and t=time since the plane has passed overhead , we have for the elevation angle
tan θ = x/y = v*t /H
θ = tan⁻¹ ( v*t /H)
the rate of change in the angle of the spectator's sight θ with the time is
dθ/dt = 1/1+(v*t /H)² * (v/H) = (v/H)/[1+ (v/H)²*t²]
for t=8 seconds
dθ/dt = (875 ft/s/21000 ft)/[1+ (875 ft/s/21000 ft)²*(8 s)²] = 0.0375 rad/s
therefore the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds
Answer:
F = 15
Good luck! Have a wonderful day!
The three inside angles of a triangle equal 180 degrees,
If one angle is 110, subtract that from 180 to find the total of the other two.
180 - 110 = 70
The other two angles equal 70 degrees.
Answer:
y = 3
Step-by-step explanation:
Here the value of x is -1 . So putting the value of x in the eqn.
gives :-
(anything multiplied with 0 gives the product as 0)
The equation is 70 35
----- = ------
100 x
To solve, multiply diagonally
You should get 70x = 3500
Then to get x alone, divide each side by 70
Your answer should be 50
