BC Education - Mathematics 10 to 12 Appendices

Technology Education IRP Appendix G: Illustrative Examples
Principles of Mathematics 11

SHAPE AND SPACE (Measurement)

It is expected that students will solve problems involving triangles, including those found in 3-D and 2-D applications.

Prescribed Learning Outcomes

Illustrative Examples

It is expected that students will:

solve problems involving ambiguous case triangles in 3-D and 2-D

An 11 cm long line AB is drawn at an angle of 44° to a horizontal line AE. A circle with centre B and a radius of 9 cm is drawn, cutting the horizontal line at points C and D. Calculate the length of the chord CD.

The line segment of equation , passes through
A(0, 0) and C(5, 12), has a length of 13 and makes an angle of 67.3 with the horizontal x-axis.
a) What points are locted with CB = 10 and AB horizontal?
b) Check your answer by determining the intersection points of the circle and the line y = 0.
c) Use a suitable diagram to explain why the answers to a) and b) are the same.

*Streetlights A, B, C, D and E are placed 50 m apart on the main road, as indicted on the diagram. The light from a streetlight can travel 24 m. Determine the furthest point on the side road that is lighted and the length of side road that is illuminated by both streetlight C and streetlight D.

Revised: September 2001

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