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3D Pythagoras and Basic Trigonometry Name: Class: Date: Mark /5 1) Find the length of BD in the shape pictured below, giving your answer to 3 significant figures. F G E H B A 3 cm D 5 cm C 9 cm 2) Find the length of DE in the shape pictured below, giving your answer to 3 significant figures. E F 3 cm B A 4 cm D C 10 cm Copyright Mathster.com 2014. Licensed by Thornleigh Salesian College, Bolton % 3) Find the vertical height, OE, of the pyramid pictured below (where O is the centre of the base ABCD). Give your answer to 3 significant figures. E 8 cm 8 cm B C O A 6 cm 6 cm D 4) Calculate the angle between the line AG and the plane ABCD in the cuboid pictured below, giving your answer to 1 decimal place. F G E H B A 5 cm D 4 cm C 5 cm Copyright Mathster.com 2014. Licensed by Thornleigh Salesian College, Bolton 5) Calculate the angle between the face CDE and the base ABCD in the pyramid pictured below, giving your answer to 1 decimal place. E 10 cm 10 cm B C 6 cm A 6 cm D Copyright Mathster.com 2014. Licensed by Thornleigh Salesian College, Bolton Solutions for the assessment 3D Pythagoras and Basic Trigonometry 1) BD = 9.49 cm 2) DE = 11.2 cm 3) Height = 6.78 cm 4) Angle = 29.5° 5) Angle = 71.7° Copyright Mathster.com 2014. Licensed by Thornleigh Salesian College, Bolton