By R. Barnett, et. al.,

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EXPLORE/DISCUSS 2 We want to measure the depth of a canyon from a point on its rim by using similar triangles and no scale drawings. * A vertical pole of height a is moved back from the canyon rim so that the line of sight from the top of the pole passes the rim at D to a point G at the bottom of the canyon. The setback DC is then measured to be b. The same vertical pole is moved to the canyon rim at D, and a horizontal pole is moved out from the rim through D until the line of sight from B to G includes the end of the pole at E.

13. 00 in. long, how far does the tip of the hand travel in exactly 20 min? 14. 25°. Which is larger? Explain how you obtained your answer. 21Њ 39Њ 120Њ 120Њ (a) (b) 39Њ 21Њ (c) Figure for 6 15. Use a calculator to: (A) Convert 67°42Ј31Љ to decimal degree form. 317° to degree-minute-second form. 16. Perform the following calculations on a calculator and write the results in DMS form: (A) 82°14¿37– - 16°32¿45– (B) 3(13°47¿18– + 95°28¿51–) 17. 6 * 10-4 mm.

Shadow B Depth of moon crater Figure for 31 E a A 32. Astronomy The ﬁgure illustrates how the height of a mountain on the moon can be determined from earth. 0 * 103 m, how high is the mountain? aЈ C Mirror D Figure for 25 and 26 Sun rays A C 28Њ 26. , and DE = 5 ft 9 in. Shadow 27. Indirect Measurement A ﬂagpole that is 20 ft high casts a 32 ft shadow. At the same time, a second ﬂagpole casts a 44 ft shadow. How tall is the second ﬂagpole? 28. Indirect Measurement Jack is 6 ft tall and casts an 8 ft shadow.