---------------------------------------------------------------------------------------------- Find the duration ---------------------------------------------------------------------------------------------- Time : 9:00am to 10:15am Duration: 1hour 15 mins or 1.25hours
---------------------------------------------------------------------------------------------- Find difference in distance travelled between the two cyclists. ---------------------------------------------------------------------------------------------- Difference in speed = 6km/h 1 hour = 6 km 1.25 hours = 7.5km
---------------------------------------------------------------------------------------------- Find the distance the cyclist traveled ---------------------------------------------------------------------------------------------- 42.5 - 7.5 = 35km 35km ÷ 2 = 17.5km
The slower cyclist traveled 17.5 km in the 1.25 hours
17.5 + 7.5 = 25 km
The faster cyclist traveled 25km in the 1.25 hours
---------------------------------------------------------------------------------------------- Find the speed of the slower cyclist ---------------------------------------------------------------------------------------------- 1.25 hour = 17.5 km 1 hour = 17.25 ÷ 1.25 1 hour = 14km
The cyclist was traveling at 14km/h
---------------------------------------------------------------------------------------------- Find the speed of the faster cyclist ---------------------------------------------------------------------------------------------- 1.25 hour = 25km 1 hour = 25 ÷ 1.25 1hour = 20 km
The cyclist was traveling at 20km/hour
---------------------------------------------------------------------------------------------- Answer: The speed were 14km/h and 20 km/h ----------------------------------------------------------------------------------------------
The reference angle is a positive acute angle. Angle 7π/6 in radians= = 7*180°/6 = 210° ( because π rad=180°). This angle is in the 3rd Quadrant and formula for the reference angle is: x-180°. 210°-180°=30° Answer: The reference angle for 7π/6 is 30°.
