Difference between revisions of "2023 SSMO Team Round Problems/Problem 2"

(Created page with "==Problem== A plane and a car start both move northward. The car moves northbound at 60 miles per hour. The plane moves northeast and increases in altitude at an angle of <mat...")
 
(No difference)

Latest revision as of 22:25, 15 December 2023

Problem

A plane and a car start both move northward. The car moves northbound at 60 miles per hour. The plane moves northeast and increases in altitude at an angle of $30^{\circ}.$ Let $s$ the speed in feet per second that the plane must fly at to move north at the same speed as the car. Find $3s^2$.

Solution