Geometry
§13.8 Vectors and Area
Date: _____
Definitions:
Vector: A quantity that has both magnitude and directions.
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Velocity: Rate of change (speed) and directions.
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Is 20° south of east the same as 20° east of south?
Examples:
1.
A hurricane is moving 30 mph in a direction 23° west of north. Find the
components of its velocity.
2.
A helicopter pilot wants to reach a point 3 km south and 6 km east of
the takeoff location.
a. In which direction should the helicopter take off?
b. How far will the helicopter travel?
3.
What is the area of a triangular plot of land with two sides of lengths
150 meters and 173 meters, and an 83° angle between them?
Note: how did we find the height? How can we write that generically?
SAS Triangle Area Formula:
In any triangle, area (ΔABC) = ½ ab sin C
4.
Find the area of the following triangles:
a.
b.