Step-by-step explanation:
Use arc length:
s = rθ
where r is the radius and θ is the angle in radians.
a) First, convert the angle to radians (1 degree = 60 minutes).
77 ⁵⁰/₆₀° × (π radian / 180°) = 1.358 radians
s = rθ
s = (9.67 in) (1.358 rad)
s = 13.1 in
b) s = rθ
4 in = (9.67 in) θ
θ = 0.414 radians
θ = 23.7°
θ = 23° 42'
A number without fractions; an integer.
Answer: The plane is 6,547 feet from the closer edge of the runway.
This is a trigonometry problem that will involve setting up 2 different triangles. One going to the closer edge of the runway and the other going to the far end of the runway.
The constant between the 2 triangles is the height of the plane. You can solve for this is both triangles and set them equal to each other.
Do that will give you the equation:
x/tan(70) = (x+3000)/tan(76) where x is the distance to the closer end of the runway.
If you solve that equation, you will get x = 6547 feet.
Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.
