Answer: 42.21 km
Step-by-step explanation:
We can solve this using trigonometry, since we have the following data:
is the the angle of elevation
is the horizontal distance between the plane and the radar station
is the hypotenuse of the right triangle formed between the radar station and the airplane
Now, the trigonometric function that will be used is <u>cosine</u>:
because
is the adjacent side of the right triangle
Finding
:
then its 658.74 or 6.5874

Step-by-step explanation:
The ratio cosine tell us that
- In a right angled triangle, the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle.
In other words,

The side adjacent to angle a is 9. The hypotenuse is 41.
So

Take away the bottom equation from the top so the y’s cancel out
3x = -24
x therefore = -8
and put x back into the equation to find out y
2(-8) + y= 32
-16 + y =32
y= 48