Question

I Review I Constants Periodic Table Part A Erica is participating in a road race. The first part of the race is on a 2.6-mile-long straight road oriented at an angle of 25° north of east. The road then turns due north for another 3.0 mi to the finish line. In miles, what is the straight-line distance from the starting point to the end of the race? Express your answer in miles. mi Submit Request Answer

Answer 1

Part A -

Final Distance of Erica from the starting point = 4.73 mile.

Part A - Final Distance of Erica from the starting point = 4.73 mile. Angle between the sides OA and AB = 25 degrees + 90 degrees theta = 115 degrees Final Distance of Erica from initial point = OB = squareroot OA^2 + AB^2 - 2 times OA times AB times cos theta = squareroot 2.6^2 + 3.0^2 - 2 times 2.6 times 3.0 times cos 115 squareroot 6.76 + 9.0 + 6.59 = 4.73 mile Answer.