Starting from an airport, an airplane flies 210 miles southeast and then 210 miles south. How far, in miles, from the airport is the plane? (Round your answer to the nearest mile.)

The plane is 388 miles far from the airport.

Step-by-step explanation:

We know that, the angle between southeast and south directions is .

The plane travels as per the triangle as shown in the attached image.

A is the location of airport.

First it travels for 210 miles southeast from A to B and then 210 miles south from B to C.

To find:

Side AC = ?

Solution:

As we can see, the is an isosceles triangle with sides AB = BC = 210 miles.

So, we can say that the angles opposite to the equal angles in a triangle are also equal.

And sum of all three angles of a triangle is equal to .

Now, we can use Sine Rule:

a, b are the sides opposite to the angles respectively.

So, the answer is:

The plane is 388 miles far from the airport.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

the first one

step-by-step explanation:

just id the test.