What is the distance to the earth’s horizon from point P?
Round to the nearest tenth.
A skydiver is at an altitude of 1.4 mi above the earth’s surface.
From the skydiver’s viewpoint, what is the distance to the horizon?
Round to the nearest tenth.
[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth
D^2 = 1.4 x 7918
D^2 = 11,085.2
D = Sqrt(11,085.2)
D = ~ 105.28628......miles - Distance to Horizon.
+130081
The side of the triangle with a length of 3959 + 1.4 is the hypotenuse of a right triangle with the Earth's radius forming another leg.....the distance from the skydiver to the horizon, "x" is given by :
sqrt[ (3969 + 1.4)^2 - 3969^2 ] ≈ 105.296 miles
+26396 What is the distance to the earth’s horizon
Tangent Secant Theorem
What is the distance to the earth’s horizon from point P?
Round to the nearest tenth.
r = 3959 mi
\(x^2 = 15.6 \cdot (15.6 + 2\cdot 3959) \\ x = 351.8\ \text{mi}\)
A skydiver is at an altitude of 1.4 mi above the earth’s surface.
From the skydiver’s viewpoint, what is the distance to the horizon?
Round to the nearest tenth.
r = 3959 mi
\(x^2 = 1.4\cdot (1.4 + 2\cdot 3959) \\ x = 105.3\ \text{mi}\)
