Two airplanes are approaching the airport tower at the same altitude. Radar shows that plane A is 20 miles due east of the tower
1 answer:
Answer:
40 miles
Step-by-step explanation:
We can solve this by drawing a triangle if one plane is east of the tower and the other north east. We assume that the tower is the other point of the triangle. We have an angle of 15 degrees connecting tower to plan B. We can sine rule to solve this problem.
The sine rule is:
sinA/a=sinB/b=sinC/c
As we know one angle and two sides we can solve for the one side and two angles as we have 3 unknowns and 3 known values:
Let plane A have angle A and side a, plane B have angle B and side b:
sinA/a=sinB/b
sinA/20=sin15/22
sinA
A = sin^-1 (0.235)=13.6 degrees
Therefore angle C is:
We can solve for c:
sinB/b=sinC/c
The planes are 40.6 miles apart
You might be interested in
let x be y and y be the x, so we have
The function in the graph has the name of square function.
The domain of a function is all values of x the function can have. The domain of this function is all real numbers:
The range of a function is all values of y the function can have. The range of this function is all positive numbers, including zero:
In order to graph f(x) + 2, we just need to translate the graph 2 units up. To find the new points, we need to increase all y-coordinates by 2:
(-2, 6), (-1, 3), (0, 2), (1, 3), (2, 6)
Domain: {x ∈ ℝ}
Range: {y ∈ ℝ | y ≥ 2}
Then, in order to graph f(x) - 2, we just need to translate the graph 2 units down. To find the new points, we need to decrease all y-coordinates by 2:
(-2, 2), (-1, -1), (0, -2), (1, -1), (2, 2)
Domain: {x ∈ ℝ}
Range: {y ∈ ℝ | y ≥ -2}
