Answer:
163.8 ft
Explanation:
In triangle ABD
= 155 ft
![Cos63 = \frac{BD}{AB} = \frac{BD}{155}\\BD = 155 Cos63 \\BD = 70.4 ft](https://tex.z-dn.net/?f=Cos63%20%3D%20%5Cfrac%7BBD%7D%7BAB%7D%20%3D%20%5Cfrac%7BBD%7D%7B155%7D%5C%5CBD%20%3D%20155%20Cos63%20%5C%5CBD%20%3D%2070.4%20ft)
![Sin63 = \frac{AD}{AB} = \frac{AD}{155} \\AD = 166 Sin63\\AD = 148 ft](https://tex.z-dn.net/?f=Sin63%20%3D%20%5Cfrac%7BAD%7D%7BAB%7D%20%3D%20%5Cfrac%7BAD%7D%7B155%7D%20%5C%5CAD%20%3D%20166%20Sin63%5C%5CAD%20%3D%20148%20ft)
Using Pythagorean theorem in triangle ADC
![AC^{2} = AD^{2} + DC^{2} \\175^{2} = 148^{2} + DC^{2} \\DC = 93.4 ft](https://tex.z-dn.net/?f=AC%5E%7B2%7D%20%3D%20AD%5E%7B2%7D%20%2B%20DC%5E%7B2%7D%20%5C%5C175%5E%7B2%7D%20%3D%20148%5E%7B2%7D%20%2B%20DC%5E%7B2%7D%20%5C%5CDC%20%3D%2093.4%20ft)
= distance between the anchor points
distance between the anchor points is given as
![d = BD + CD = 70.4 + 93.4\\d = 163.8 ft](https://tex.z-dn.net/?f=d%20%3D%20BD%20%2B%20CD%20%3D%2070.4%20%2B%2093.4%5C%5Cd%20%3D%20163.8%20ft)
<span>Angular distance moved = 220 rad = {35(2π) ≈ 220 rad}
Max angular speed = 18 rad/s
Final angular speed = 0 rad/s
Avg angular speed = 9 rad/s {assuming a CONSTANT de-celeration of wheel}
Time to stop = 220/9 = 24.4 s ANS</span>
<span>Archaebacteria and Eubacteria
hope it helps
</span>