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.
(8)=ones place
(1)0=tens place
(1)00=hundreds place
(9)000=thousands place
The "1" beside the 8, is the tenths spot so you would round that part of the number.
Therefore the answer would be:
9120
Answer:
right triangle
Step-by-step explanation:
A Right triangle is a triangle that has one of its angle as 90°.
Since the triangular shaped tiles has a right angle, the kind of triangle Kevin found will be a right triangle.
A right triangle has two acute angles (angles less than 90°) and a right angle
Answer:
Gradient of the line with points (-4,1)&(3,-2) is
(-2-1)÷(3-(-4))=-3/7
Then the equation of that^ line is
Y-1=-3/7(x-(-4))--->y=-3/7x-5/7
Since this^ line is perpendicular to the line you are looking for.the gradient of the line you are looking for is -1÷(-3/7)=7/3
The equation of the line you are looking for is
Y-1=7/3(x-2)--->y=7/3x-11/3
[Cause the line you are looking for passes through the point (2,1) and you found the gradient of this line]
One and one eighth because 5-1=4 and 4+4=8 so one whole and the 1 one eighth leftover equals 1 and 1/8
