Erica and Amy started biking in the opposite directions at the same time from the same place. Erica biked at a speed of 6 meters per second and Amy biked at a speed of 4 meters per second. How soon were they exactly 1 km apart? minute (s) and second (s)

Step-by-step explanation:

1km = 1000 meters

Let t represent the time it will take them to be 1km(1000 meters) apart.

Distance = speed × time

Erica biked at a speed of 6 meters per second. This means that the distance that Erica travelled in t seconds would be 6t.

Amy biked at a speed of 4 meters per second. This means that the distance that Amy travelled in t seconds would be 4t.

Since the total distance covered after t seconds is 1km(1000 meters), it means that

6t + 4t = 1000

10t = 1000

t = 1000/10

t = 100 seconds

The number of seconds in a minute is 60

Converting to minutes and seconds, it becomes

1 minute, 40 seconds

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

step-by-step explanation: