Question

Copy this diagram and extend the pole length to create a transversal to the parallel sun rays.

Your explanation in completing the problem should include full sentences, using words. It should also make sure to refer to any of the following three key facts you use to determine the angle with vertex C:

(a) The vertical angles formed by intersection of two lines are equal.

(b) The Parallel Postulate: If parallel lines are cut by another line, the corresponding angles produced are equal.

(c) The sum of interior angles in a triangle is 180 degrees.

10.2 Angles and Phenomena in the World CA-209 Angles and Phenomena in the World Class Activity 101 Eratosthenes's Method for Determining the Circumference of the Earth 10.2 CCSS CCSS SMP4 The figure below shows a cross-section of the earth. At noon on June 21, the sun is directly over- head at location A, so that the sun's rays are perfectly vertical there. At the same time, 500 miles away at location B, the sun's rays make a 7.2 angle with the tip of a vertical pole (shown not to scale), which was determined by considering the shadow that the pole casts. Because the sun is far away, sun rays at the earth are (approximately) parallel. Use this information to determine the circumference of the earth, explaining your reasoning. Surface of the earth 7.2 500 miles Center of the earth

Answer 1

fL 175 AB_ 383 53067 /..3ak62/ 3875. 38 Aol