The angle of depression from an airplane to the top of an air traffic
1 answer:
<h3>Answer: approximately 8600.33397283284 feet</h3>
Round this however you need to.
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Work Shown:
Check out the diagram below. We have the following points
- A = base of the tower
- B = point on the ground directly below the airplane
- C = top of the tower
- D = plane's location
- E = point used to form the angle of depression
Based on those points, we know that
- AC = 320 = height of tower
- BD = 7450 = height of plane
- CE = BD - AC = 7450-320 = 7130 = difference between the two heights
Which allows us to find the distance from C to D. Focus solely on triangle EDC. Use the sine ratio to find x.
sin(angle) = opposite/hypotenuse
sin(angle EDC) = CE/CD
sin(56) = 7130/x
x*sin(56) = 7130
x = 7130/sin(56)
x = 8600.33397283284 approximately
Make sure your calculator is in degree mode.
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Answer:
The angle complies with the state regulations.
Step-by-step explanation:
The angle of elevation is the angle in the figure, and from trigonometry we find that
taking the inverse sine of both sides we get
which gives
which is less than 5°, and therefore is well within the state regulations.
