Pythagorean theorem and trigonometry in 3-D

Subject: Mathematics

Grade: Lower Secondary

Publisher: YDP

Resource types: Whiteboard presentation

Resource ID: e3692
Description:

At the end of this activity, students should be able to:
recognise the angles of elevation and depression
- find the angle between the line and the plane, and the angle between two planes
- apply the Pythagorean theorem and trigonometric ratios to find the volume and surface area of solids
- apply the Pythagorean theorem and trigonometric ratios to find the measures of some angles in solids.

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Pythagorean theorem... Class activity

Consists of...
Angles Animation Find the angle Whiteboard exercise A diagonal of a cube Animation A cube Whiteboard exercise Rectangular prism Whiteboard exercise Angle between an ed... Animation Regular tetrahedron Whiteboard exercise Aerial Animation A radio tower Whiteboard exercise The angle of elevation Whiteboard exercise Volume of the pyramid Animation A square pyramid Whiteboard exercise Volume and surface ... Animation A cylinder Whiteboard exercise Angle in a cone Animation A cone Whiteboard exercise

Relevant to...

Secondary School

Lower Secondary (Grades 7-9)

Mathematics

Trigonometry (2)

129. Pythagorean theorem and trigonometry in 3-D

YDP SA

Keywords

cone, pyramid, solids, prism, dimension, Pythagorean, theorem, 3-d, trigonometry, Pythagorean theorem and trigonometry in 3-D

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