Question

Hillary is skiing on a circular ski trail that has a radius of 1.3 km. She starts at the 12-o'clock position (the north side of the trail) and travels in the CCW direction. Imagine an angle with its vertex at the center of the circle, an initial ray pointing in the 12 o'clock direction, and that subtends the path Hillary has traveled. Let 8 represent its measure (in radians). Which of the following expressions represents Hillary's distance above (to the north) of the center of the ski trail in km in terms of ? 1.3 sin(0) 01.3 sin (-) 01.3 cos (6 + 7) Osin(+3) 1.3 sin (@+)

Answer 1

we can use formula

$y=Asin(B\theta+C)+D$

She starts from 12 o clock position

so, she starts from max

$A=1.3$

$D=0$

$C=0$

B = 1

and it is rotating counter clockwise direction

$y=1.3cos(\theta)$

we can also write as

$y=1.3sin(\theta+\frac{\pi}{2})$.............Answer