An airplane pilot wishes to fly due west.?
This is a vector problem. You want to fly due west, but you have to fly in another direction to balance out the wind that is pushing you to the south. If you're flying at 305 km/h, and the wind is pushing you 72 km/h, then we have some information for our problem. Picture a right triangle with legs going south and west and the hypotenuse representing the direction you want to go. If you think about it logically, the hypotenuse would be pointing in a northwestern direction - you need to fly north to counter the winds pushing you south. We have the magnitude of the hypotenuse and the "south" leg of the triangle, so we can see that we can use some trig to find the angle north of west and the overall speed. In our triangle, the angle between the hypotenuse and the "south" leg can be found using cos: cos (angle) = adj/hyp cos (angle) = 72/305 angle = 76 degrees But since we're looking for the angle north of west, we need the complement of this angle, or 14 degrees. The ground speed can be found through either trig or the Pythagorean theorem. From looking at the diagram and thinking logically, you would expect the ground speed to be less than the given airspeed, since we're being pushed around by a headwind. I'll solve it using trig: sin (angle) = opp/hyp sin (76) = opp/305 opp = 296 km/h
What are some of the interesting facts about India?
1- If you’re good at something, the Indian parent will ask you to prepare for an Engineering Entrance Examination. 2- The sole purpose of having kids in India is so that they can come first in school and make their parents proud in front of their relatives. 3- ‘Bhaad’ is the most visited place in India.4- In India you have to look both ways to cross a one way road. 5- Sarcasm is like electricity, only half the Indians get it.6- In India, even exceptions run into millions. "Being one in a million in India means that there are 1241 Indians just like you!"7- Success is relative. More the success, more the relatives. 8- The only country where people fight to be termed 'backward'.9- In India, every God has its day! Country where people worship "goddess" for a "son"!!10- Indians, they don't cast their vote, they vote their caste."11- A country where two types of curse may happen with child when he is born1. Polio2. General category.12- In India we have two birthdays, official and original. 13- In India, the size of a queue is measured by its area and not the length. A country where distance is measured in minutes rather than kilometers.The standard reply to "How far is that place?" is "5 - 10 minutes". 14- A country where Éclairs and Melody are given as "change". 15- In London, they drive on left while in India, they drive on what is left. 16- Everyone needs magic but not logic. That's why Babas are more famous than Scientists.17- When its scientific prowess is under question, India reminds the world about the invention of zero. 18- They think not eating non veg. and drinking alcohol on Tuesdays and Saturdays will exonerate them from all bad they have done in their lives...19- In India, if you throw a stone randomly on a street, it will either hit a dog, or an engineer. 20- In India, you bribe the government to call yourself economically backward.