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The farthest distance a satellite signal can directly reach is the length of the tangent to the curve of Earth's surface. If th...Asked by no
The farthest distance a satellite signal can directly reach is the length of the tangent to the curve of Earth's surface. If the angle formed by the tangent satellite signals is 104°, what is the measure of the intercepted arc (x) on Earth?
Hint: If minor arc AC = x then remember that major arc ABC = 360 - x. You will need to substitute into your equation provided in the theorem.
Show all work.
(This is 10th grade math, please don't make it advanced, shorten the steps.)
(You should get 76° for your answer.)
Hint: If minor arc AC = x then remember that major arc ABC = 360 - x. You will need to substitute into your equation provided in the theorem.
Show all work.
(This is 10th grade math, please don't make it advanced, shorten the steps.)
(You should get 76° for your answer.)
Answers
Answered by
oobleck
What a lot of needless work!
Draw the diagram. Let S be the satellite, and let the tangents touch the earth at points A and B. The center of the earth is O.
Now, we have ∡ASB = 104°
Then, ∡ASO = ∡BSO = 52°
So that means that ∡AOS = ∡BOS = 38°
The intercepted arc is thus 76°
Draw the diagram. Let S be the satellite, and let the tangents touch the earth at points A and B. The center of the earth is O.
Now, we have ∡ASB = 104°
Then, ∡ASO = ∡BSO = 52°
So that means that ∡AOS = ∡BOS = 38°
The intercepted arc is thus 76°
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