Two tracking stations are on the equator 117 miles apart. a weather balloon is located on a bearing of upper n 43 degrees upper e from the western station and on a bearing of upper n 15 degrees upper e from the eastern station. how far is the balloon from the western station? round to the nearest mile.

Step-by-step explanation:

First, in the picture we have a drawing of this exercise. In this case, I will call A to the western station, and B the eastern station.

According to this, we have a triangle there, and we need to calculate the distance between C and A (Distance AC). This is the diagonal of that triangle. We only have the length of side AB which is 117 miles, and now, to get the side AC we need to use the sin law.

First, let's calculate the angle in B:

<ABC = 15 + 90 = 105°

This is the angle of that side of the triangle.

The angle in A:

<CAB = 90 - 43 = 47°

The angle in C:

<ACB = 180 - 47 - 105 = 28°

We have the three angles now.

Now the sin law is:

Sin< = opossite leg / hypotenuse

hypotenuse = opposite leg / sin<

Equaling both we have:

hypotenuse = AB / sin<ACB = AC/sin<ABC

AC = AB sin<ABC / sin<ACB

Solving for AC we have:

AC = 117sin105 / sin28

AC = 240.72 miles

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

me! what did you put for this question?

step-by-step explanation: