Answer:
14a^2(2a^6+1)
Step-by-step explanation:
You would have to take 6336 steps because 63360 inches is one mile and that divided by 10 is 6336
<span>z=5-2i
</span><span>|z| = [ (5^2 + (-2)^2) ] ^ 0.5
= ( 25+4) ^ 0.5
= 29^0.5 </span>
Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have

Therefore,

α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.
The Answer is 1/2... Simplified