Question

A cable railway is driven by two large 14-foot-diameter drive wheels, called sheaves. Because of the figure-eight system used, the cable subtends a central angle of 270° on each sheave. Find the length of cable riding on one of the drive sheaves at any given time. (See the figure below. Round your answer to one decimal place) Need Help? Read It Talk to a Tutor 11. +-/1 points MckTrig8 3.4.025. My Notes Ask Your Teacher From the earth, the moon subtends an angle of approximately 0.5º. If the distance to the moon is approximately 240,000 miles, find an approximation for the diameter of the moon accurate to the nearest hundred miles. (See Example 4 and the discussion that precedes it.) mi Need Help? Read It Talk to a Tutor

Answer 1

0 If the cable subtends a IF 270° angle, then it is sitting on = 270 270 = 0.75 of it's circumference 360 Length of the rope = 0.75*2xD whene D = 14 ( Given) s 0.75 * 3.14 x 14 L = 32.97 TL= 32.9 Answer 3 As we know 1. Saro e s So = Are length o=ngte Angle (In radians) 0.5x (80 - 0.008726646 Yadians Also 8: 240000 miles Using the formula we get S: 240000 x 0.008726646 S = 2094.4 Is=2095 mi | Approx Answer