the blue point is at 161 degrees on a circle with: center height 30 and radius 25. type a very precise…

the blue point is at 161 degrees on a circle with: center height 30 and radius 25. type a very precise estimate of the height of the point. feedback: attempts: 0
Answer
Answer:
$38.23$
Explanation:
Step1: Determine the formula for the height of a point on a circle
The height (y) of a point on a circle with center height (h), radius (r), and angle (\theta) (in degrees) is given by (y = h + r\sin\theta).
Step2: Substitute the given values into the formula
Here, (h = 30), (r = 25), and (\theta=161^{\circ}). First, convert the angle to radians if using a calculator in radian - mode ((161^{\circ}=161\times\frac{\pi}{180}\approx2.81) radians). Then (\sin(161^{\circ})\approx\sin(2.81)\approx0.329). [y = 30+25\times\sin(161^{\circ})] [y = 30 + 25\times0.329] [y=30 + 8.225] [y = 38.225\approx38.23]