An airplane flying at an altitude of 10,000 feet passes directly over a fixed object on the ground. One minute later, the angle of depression of the object is 42 degrees. Approximate the speed of the airplane to the nearest mile per hour.
Ans: 126 mi/hr
Is this right so far? if so what do I do next, or what do I do to make it right?
Hello, purplec16!
An airplane flying at an altitude of 10,000 feet passes directly over a fixed object on the ground.
One minute later, the angle of depression of the object is 42°.
Approximate the speed of the airplane to the nearest mile per hour.
Ans: 126 mi/hr
??
Is this right so far? . . . . noYour set-up is correct, but . . .Code:a * - - - - - * | 42° * | * 10,000 | * | * | * *
. .
The plane flew: . feet in one minute.
It would fly: . feet in one hour.
It would fly: . miles in one hour.
Therefore, its speed is about 126 mph.
Hi purplec16,
1 mile=5280 feet.
your initial error was that your calculator was set to radians instead of degrees.
There are 360 degrees in a circle, which is the same as radians.
Then you find how many feet the plane travels in a minute from the diagram.
In 60 minutes, it will travel 60 times that distance.
That is the speed in feet per hour.
You need the speed in miles per hour.
So the conversion is 1 mile = 5280 feet.
Hence divide by 5280 for your final answer.