The angle of elevation of an antenna is 43 0 as shown in the diagram. a.If the distance along the base is 36 feet, estimate the height of the antenna.

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Presentation transcript:

The angle of elevation of an antenna is 43 0 as shown in the diagram. a.If the distance along the base is 36 feet, estimate the height of the antenna. b.Support wires are attached to the antenna as shown with an angle of elevation of Estimate the distance d from the bottom of the antenna to the point where the wires are attached to the antenna.

Vectors Vector ⇀ : a quantity that has both direction and magnitude (length) and is represented by an arrow drawn between two points. Initial point: starting point (P) Terminal point: ending point (Q) Component form:x 2 -x 1,y 2 -y 1 Magnitude (speed): distance between A and B (distance formula) P(x 1,y 1 ) Q(x 2,y 2)

What can we state about this vector? The vector is named PQ The magnitude (length) of the vector is P(2,2) Q(7,8) ⇀ ⇀ Component form: 7-2,8-2 5,6

Example 2: Find the image of D(1, -2) under the translation described by the vector. Find the magnitude of the vector y x D(1,-2); D’(2,2) ⇀

Describing the Direction of a Vector AB describes the velocity of a plane. The scale is mi/h. a.Find the speed. a.Find the direction it is traveling relative to east. ⇀ About 608 mi/h About 9.5 o north of east