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8. To determine the angle of elevation of the sun at different points in the day, a class spent the day outside collecting data. Students gathered outside of their school around a cell phone tower that is known to be 50 meters tall and they measured the length of its shadow at 9am, 11am, 1pm and 3pm. Time Length of Shadow (m) Angle of Elevation of Sun 9am 56 11am 33 ? ? 35 ? 1pm 3pm 58 ? Help complete the table using what you have learned in this unit. Round your answers to the nearest degree and select the correct angles of elevation from the drop down menu. 9am [Choose 11am [Choose ] 1pm [Choose 3pm [Choose

Answer 1

Time: 9 am Shadow :- 56 m A In right angle Triangle ABC, we have AB tano meters Вс 50 = tano 56 B m tan ( 9 ) 41.76 = 42° Angle of Elevation of Sun= 42 Time : 33 ll am shadow In SABC, we have 50 AB tan o = m Вс tan & с B 33 m 33 • = tan!) ~ 56. 57 & 57 Angle of Elevation of sun 57

Time: 1 PM shadow: 35 In right - angle triangle A BC , we have 50 tan 2 = AB Вс 35 0.00 OO U U U U U U U m B 35 m с x= tan (S) La 55° 7 Angle of Elevation of suna 55° Time: 3 PM Shadow 58 А triangle ABC In St. angle tan C AB BC 50 18= 50 58 m tan - = 40.76° 58 B 8 m c ß = 41 Time Length of Shadow (m) 56 9 am (1 ам 33 Angle of Elevation of Sun 42 57° 55 40° PM 35 3 PM 58

In right angle Triangle ABC A B = 50m AC = 10 m lom A C we have to find angle <B=? Therefore, tan B 50 m AC AB tan B 10 - 5 B B = tan' (t) = tan (0.2) - 11.3099 or B 11. 31 0 3.49° Answer 11.31° 0 78.46 O 78.690