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Find the angle formed by highways xy and xz if x is 6 km from y y is 4 km from z and x is 5 km from z?
We have a triangle with side lengths 6, 4, and 5 (the units are irrelevant). We want to know the size of the angle A formed between the sides of length 6 and 5. Use the cosine rule: 42 = 62 + 52 - 2(6x5)cosA 16 = 36 + 25 - 60cosA 16 = 61 - 60cosA 60cosA = 45 cosA = 0.75 So, A = arccos(0.75) or about 41.4 degrees, or 0.72 radians.
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A plane flying 100kmh due north encounters a crosswind of 100kmh from the east ie blowing westward What then is the planes velocity relative to the ground?
The resultant velocity of the plane relative to the ground can be calculated using vector addition. Given the plane's speed due north (100 km/h) and the crosswind speed (100 km/h westward), use the Pythagorean theorem to find the resultant velocity. The resultant velocity will be 141 km/h at an angle of 45 degrees west of north.
How many km can a lead pencil draw?
A standard lead pencil can draw around 50-60 km of line. This estimation can vary depending on factors like pressure applied, lead thickness, and angle of the pencil.
When a person moves a distance of 3km towards East then 2km towards North and 3.5km towards East find a distance covered by person and displacement?
The total distance covered by the person is ( 3 km + 2 km + 3.5 km = 8.5 km ). The displacement of the person is the straight-line distance from the initial point to the final point, which can be calculated using Pythagoras' theorem as ( \sqrt{(3 km)^2 + (2 km + 3.5 km)^2} \approx 5.7 km ).
An airplane travels at 150 km per h toward the northeast what is the northern component of its velocity?
The northern component of the velocity can be found by multiplying the velocity by the cosine of the angle it makes with the north direction. Since the airplane is moving northeast, which is 45 degrees from north, the northern component velocity would be 150 km/h * cos(45°) ≈ 106 km/h.
An airplane flew for 6 hours against a tail wind of 25 kmhr. The return trip with the same wind took 5 hours. Find the speed of the airplane in still air.?
275 km/hr
How long is the drive from Paris to Montecarlo?
distance = 953 km, (highways 942 km) driving time = 09H45
How far is Antibes to Marseille?
distance = 190 km, including 183 km on highways driving time = 2H00
How far is it from Paris to Beziers?
distance = 755 km including highways 728 km driving time 07H45
How many national highways are there in India?
There are a total of 117,694 km of national highways in India, comprising both primary and secondary routes.
How long it take from Calais to Marseilles?
distance = 1071 km, including 1061.37 km on highways driving time = 11H00
Driving distance from Paris to Blaye?
distance = 546 km, including 462 km on highways; driving time = 06H00
How far is montpellier to nice?
Montpellier / Nice distance = 324 km, including 270 km highways; driving time = 03H30
What is the distance between Nice and Bergerac France?
distance = 791 km, (including highways 647 km) driving time = 09H10
If the speed limit on interstate highways in Iowa is 65 milesper hr Convert this to km per hr?
104,6 km/h
How far in kilometers from Kapuskasing to timmins?
-- 167 km via highways 11, 655, and 101. -- 133 km direct by air
How many national highways in India?
As per the record provided by the National Highways Authority of India, the total number of National Highways is 288.The last national highway is 235 which is 66 km in Uttar Pradesh.
Can you help me with the distance from Nice to Cannes?
distance from Nice to Cannes: 34 km, (including 21 km on highways), driving time : 0H35
