I need answer for 1,2,3,4,5 YOU MUST SHOW ALL FORMULAS AND STEP-BY-STEP CONVERSIONS (dimensionalanalysis) WHEN NEEDED. YOUR WORK MUST BE NEAT AND ORGANIZED. WRITE YOURSIMPLIFIED ANSWERS ON THE LINES PROVIDED. READ THE DIRECTIONSCAREFULLY (especially rounding) AND DRAW PICTURES TO HELP.Arc length formula: s=r0Area of a sector formula: A==R²00Angular velocity: @=Linear velocity: v = rot1.Saint Petersburg, Russia and Alexandria, Egypt lie approximately on the same meridian.Saint Petersburg has a latitude of 60° N and Alexandria 32° N. Find the distance (inwhole miles) between these two cities if the radius of the earth is about 3960 miles.2,Sprinkler heads come in assorted sizes depending on the angle of rotation desired. If asprinkler head rotates 115° and has the pressure to keep a constant 14.5-foot spray,what is the area of the sector of the lawn that gets water? Round to the nearest squarefoot.3.A lighthouse in the middle of a channel rotates its light in a circular motion with constantvelocity. If the beacon of light completes one rotation every 8.5 seconds, what is theexact angular velocity of the beacon in radians per minute?3.4.Consider two gears working together (in a pulley-like situation) such that the smaller gearhas a radius of 10 cm, while the larger gear has a radius of 26 cm. Find the radianmeasure rotation of the smaller gear when the large gear makes three completerotations.5.Each tire on a car has a diameter of 16.5 inches. The tires are rotating at 460revolutions per minute. Find the speed of the automobile to the nearest mile per hour.Use dimensional analysis in steps when you show your work.

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