Question

Use geogebra to record m∠ead. also find and record m∠adc and m∠aec. you don’t need geogebra to find m∠adc and m∠aec. explain why not.

Answer 1

In GeoGebra, m∠EAD = 120°. Both m∠ADC and m∠AEC are 90° because the tangent to a circle is perpendicular to the radius drawn from the point where the tangent touches the circle.

Explanation:

plato :>

Answer 2

The total displacement of three combined walks can be graphically determined by drawing vectors to scale and arranging them head-to-tail, and then measuring the resultant vector. Alternatively, one can use the component method and then apply trigonometry for the precise resultant displacement and direction.

• To calculate the total displacement of a person walking three paths on a flat field, we utilize the graphical technique for adding vectors.
• The person walks 25.0 m at 49.0° north of east, then 23.0 m at 15.0° north of east, and lastly 32.0 m at 68.0° south of east.
• To find the resultant displacement vector, each segment's displacement vector should be drawn to scale, with the correct angles in respect to the east direction.
• The vectors are then arranged head-to-tail to visualize the overall displacement.
• According to the parallelogram rule, the length of the resultant vector cannot be a simple sum due to different directions involved, hence the need for a graphical approach or another method like the method of components.
• To avoid algebraic complexity with the graphical method, one can measure the resultant vector's length and angle directly from the graph.
• This provides an approximate value for the displacement and direction.
• To avoid the graphical method's inaccuracy and complexity, one can use the component method by breaking each vector into x and y components, adding the respective components, and then using trigonometry to find the magnitude and direction of the resultant vector.