ib studies 3d sohcahtoa. an ant crawls from a to b by walking along the length, the width and then...
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Pyramid 1 The diagram opposite shows a square based pyramid with a perpendicular height of 6cm. a) Calculate AB. b) Find the angle made between AB and the base of the pyramid. Angle APB is a right-angle.TRANSCRIPT
An ant crawls from A to B by walking along the length, the width and then climbing the height.A bee travels by flying in a straight line from A to B.Find the distance each travels.
Classic Ant and Bee
Ant: 1.4+1.2+0.9=3.5 mAngle APB is a right-angle.
AP2 1.42 1.22
AP 3.4
3.4 AB 0.92 3.4AP 2.05 m
Bee=2.05 m
Pyramid 1The diagram opposite shows a square based pyramid with a perpendicular height of 6cm. a) Calculate AB.b) Find the angle made between AB and the base of the pyramid.
Angle APB is a right-angle.
a) BP2 42 42
BP 32
32
AB2 62 32AB2 8.25cm
b) tan
632
47
More 3d trigThe diagram opposite shows a rectangle, BCDE, with A perpendicularly above B.CB=12cm, CD=8cm and AC=15cm.
a) Calculate AB.b) Calculate the angle BAD.
a) AB 152 122
AB 9 cm
b) BD 122 82
BD 14.4 cm
tan
14.49
58 14.4 cm