At an airport radar tower, the air traffic controller was able to determine how far two planes were away from the airport and the included angle. how far were the two planes away from each other?
a. 2800 feet

b. 4000 feet

c. 5126 feet

d. 6132 feet

Step-by-step explanation:

To solve this problem, we have to apply the law of cosines.

According to the problem, the distance of the first plane to the radar tower is and the distance of the second plane to the radar tower is . Additionally, the angle between these two distances is .

So, if we apply the law of cosine, we have

Replacing all given values, we have

Therefore, the right answer is C. 5126 feet.

(The difference between digits is due to the number of decimals we used in the operations)

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)