Suppose now that the person begins walking away from the light pole at a constant rate of 0.6 meters : second. Let 0 is measured in degrees. The light pole is still 2.7 meters tall, and the person is still 1.5 meters tal The person begins walking away from the light pole with an intial distance of 3 meters. a. Which of the quantities in the problem are varying? Iho ds O O o O O b. Which of the quantities in the problem are fixed? 1 ds 0 h c. Write an expression for the distance of the person from the light pole, measured in meters, in term of the number of seconds, t, since they began walking. d = 3+0.61 Preview d. Write an expression for the length of the person's shadow, measured in meters, in terms of the number of seconds, t, since they began walking. (0.6*1.51)(2.7-1.5) ]. Preview e. Using the tan d() or arctan d() functions, write the function rule for a function f which determin measure of the angle, 8, measured in degrees, in terms of the number of seconds, t, since the perse began walking. f(t) = arctan(2T) Preview f. Find the average rate of change of the of the angle measure, in degrees, relative to the ground wit respect to time over each given interval. i. The first 5 seconds the person has began walking. Preview ii. From 5 seconds to 10 seconds since the person began walking. Preview

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.