13. a) Mister G was going up the stairs and noticed that Kate, whose eyes are 135cm above the ground, was coming down the stairs 4 steps in front of him. Their eyes were at a horizontal level to each other. The slope of the stairs is 36.9° and each step is 20cm wide, calculate: i) the height of the stairs (a cm), correct to nearest cm. 36.90 80cm ii) the height, correct to nearest cm, of Mister G's eyes (h cm) above the ground. b) i) If they invert positions, as shown in the diagram below, show that the vertical distance (b cm) between their eyes is 120 cm. ii) Calculate the angle of depression, (xº) between their eyes? Give your answer correct to the nearest degree. 135 cm a cm h cm h cm § a cm 80cm b cm 135 cm

13. a) Mister G was going up the stairs and noticed that Kate, whose eyes are 135cm above the ground, was coming down the stairs 4 steps in front of him. Their eyes were at a horizontal level to each other. The slope of the stairs is 36.9° and each step is 20cm wide, calculate: i) the height of the stairs (a cm), correct to nearest cm. 36.90 80cm ii) the height, correct to nearest cm, of Mister G's eyes (h cm) above the ground. b) i) If they invert positions, as shown in the diagram below, show that the vertical distance (b cm) between their eyes is 120 cm. ii) Calculate the angle of depression, (xº) between their eyes? Give your answer correct to the nearest degree. 135 cm a cm h cm h cm § a cm 80cm b cm 135 cm

Name: PLEASE PLEASE FOR 10 MINUTES 13. a) Mister G was going up the stairs a
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Description: PLEASE PLEASE FOR 10 MINUTES 13. a) Mister G was going up the stairs and noticed that Kate, whose eyes are 135cmabove the ground, was coming down the stairs 4 steps in front of him. Their eyeswere at a horizontal level to each other. The slope of the

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

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