SOLUTION: If two points A and B are d miles apart, express angle ACB in radians and in degrees. (The diameter of Earth is approximately 8000 miles.) d = 700

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Question 1148544: If two points A and B are d miles apart, express angle ACB in radians and in degrees. (The diameter of Earth is approximately 8000 miles.) d = 700
Found 2 solutions by ikleyn, psbhowmick:
Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website!
.

In your post the point "C" is nor defined,

therefore, the condition is uncompleted and the question CAN NOT be answered.

Also, it is not stated on how these points relate to the Earth

and what does it mean that the points A and B are "d" miles apart.

This distance "apart" can be measured by DIFFERENT WAYS in this context, giving different answers to the problem.

My point is : until the problem's formulation and its meaning are not clearly established,
any solutions / "solutions" are pure speculations.

Answer by psbhowmick(878) (Show Source):
You can put this solution on YOUR website!
It seems A and B are two points on surface of Earth and C is the centre of the Earth.

Let us consider Earth to be a perfect sphere.

AC = BC = Radius = 4000
AB = 700
Suppose, angle Using Cosine rule in triangle ABC

radians