Let's begin by listing out the information given to us:
8 am
airplane #1: x = 80870 ft, v = -450 ft/ min
airplane #2: x = 5000 ft, v = 900ft/min
1.
We must note that the airplanes are moving at a constant speed. The equation for the airplanes is given by:
2.
We equate equations 1 & 2 to get the time both airlanes will be at the same elevation. We have:
3.
The elevation at that time (when the elevations of the two airplanes are the same) is given by substituting the value of time into equations 1 & 2. We have:
A percentage is a portion out of 100, and because it is a portion of a whole it can be written as a fraction of an amount (in this case a fraction of 100). You can also rewrite this as a decimal because a fraction is essentially the same thing as a division problem and when you divide a number by 100 you usually get a decimal (if the numerator is smaller than 100 that is), and also because decimals are similar to fractions because they represent parts a whole unit for instance the percentage 72% is equivalent to the fraction 72/100 which is the same as 72 divided by 100 which is the same as the decimal 0.72.
Sorry for the long explanation but I hope this helped!
They can play both if they wanted to......
9514 1404 393
Answer:
(a) cos(55°) = 11/x
Step-by-step explanation:
The marked sides are the hypotenuse (x) and the side adjacent to the given angle (11). Then the relevant trig ratio is ...
Cos = Adjacent/Hypotenuse
cos(55°) = 11/x
