Year 10 Interactive Maths - Second Edition

Three-Dimensional Problems

Example 22

Find the angle between the body diagonal and the base of a cube of side-length 5 cm.

Solution:

By Pythagoras' Theorem and triangle ACD,

Taking the square root of both sides gives

So, the angle between the body diagonal and the base of the cube is 35º16^/.

Study Another Topic in Chapter 15: Trigonometry

[ Naming the Sides of a Right-Angled Triangle ] [ Finding Side-Lengths ] [ Using the Cosine Ratio ] [ Using the Tangent Ratio ] [ Using a Graphics Calculator ] [ Finding Angles ] [ Using Inverse Cosine ] [ Using Inverse Tangent ] [ Problem Solving ] [ Composite Figures ] [ Directions and Bearings ] [ Angles of Elevation and Depression ] [ Three-Dimensional Problems ] [ Problem Solving Unit ] [ Projects ] [ Symbols ] [ Index ]