Typical backyard ants often create a network of chemical trails for guidance. Extending outward from the nest, a trail branches (bifurcates) repeatedly, with 60° between the branches. If a roaming ant chances upon a trail, it can tell the way to the nest at any branch point: If it is moving away from the nest, it has two choices of path requiring a small turn in its travel direction, either 30° leftward or 30 rightward. If it is moving toward the nest, it has only one such choice. Figure shows a typical ant trail, with lettered straight sections of 1.9 cm length and symmetric bifurcation of 60°. The angle between path w and the y axis is 30°. What are the (a) magnitude and (b) angle (relative to the positive direction of the superimposed x axis) of an ant's displacement from the nest (find it in the figure) if the ant enters the trail at point A? What are the (c) magnitude and (d) angle if it enters at point B? m. a C d S V. (a) Number i 7.464 Unit (b) Number i 90 Unit degrees (c) Number i 8.63 Unit (d) Number 48.43 Unit degrees

Typical backyard ants often create a network of chemical trails for guidance. Extending outward from the nest, a trail branches (bifurcates) repeatedly, with 60˚ between the branches. If a roaming ant chances upon a trail, it can tell the way to the nest at any branch point: If it is moving away from the nest, it has two choices of path requiring a small turn in its travel direction, either 30˚ leftward or 30˚ rightward. If it is moving toward the nest, it has only one such choice. Figure shows a typical ant trail, with lettered straight sections of 2.8 cm length and symmetric bifurcation of 60˚. The angle between path w and the y axis is 30˚. What are the (a) magnitude and (b) angle (relative to the positive direction of the superimposed x axis) of an ant's displacement from the nest (find it in the figure) if the ant enters the trail at point A? What are the (c) magnitude and (d) angle if it enters at point B?

Can you please help with this question i’m extremely stuck, thank you so much!!

You walk 37 m to the north, then turn 61° to your right and walk another 45 m. How far are you from where you originally started?

You go on a long hike by first walking 25 km southeast (i.e., 45° south of east) from your car. You then stop and camp for the night. On the second day, you walk 40 km in a direction 60° north of east. In what direction, as measured from the position of your car, is your final position? (Give your answer to the nearest degree.)

A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one particularday, she records that they fly 5.0 km northeast, then turn toward to the south of east by 30 degrees and fly 4.0 kmin the new direction. How far north or south of their original position are the birds?

43. John is walking around campus. John walks 2.4 km north. John then makes a left turn and walks 1.45 km west. Finally, John makes a right turn and walks 1.2 km north and sits on a bench. What is the magnitude and displacement of John from the starting point? А. 3.9 km, 24° north of west В. 3.9 km, 66° north of west С. 5.3 km, 70° north of west D. no answer is correct Е. 5.3 km, 59° north of west

Typical backyard ants often create a network of chemical trails for guidance. Extending outward from the nest, a trail branches (bifurcates) repeatedly, with 60° between the branches. If a roaming ant chances upon a trail, it can tell the way to the nest at any branch point: If it is moving away from the nest, it has two choices of path requiring a small turn in its travel direction, either 30° leftward or 30° rightward. If it is moving toward the nest, it has only one such choice. Figure shows a typical ant trail, with lettered straight sections of 1.9 cm length and symmetric bifurcation of 60'. The angle between path w and the y axis is 30'. What are the (a) magnitude and (b) angle (relative to the positive direction of the superimposed x axis) of an ant's displacement from the nest (find it in the figure) if the ant enters the trail at point A? What are the (c) magnitude and (d) angle if it enters at point B? b. C h B d L. 12 (a) Number 7.464 Unit (b) Number 90 Unit degrees (c)…

You are a jungle scientist. Your boss gives you the following alligator dive diagram. Your boss informs you of some key information. The gator travels at the top of the swamp surface 100m west and then 90.0m in a direction 33.0 degrees to the east of north. Then the gator dives below the swamp surface and travels an additional distance in an unknown direction. The final location of the gator is 60.0 m directly under a float marker which is placed 125m north of the gator's start location. Find what the gator's displacement was during this gator dive. ALIGATOR DIVE DIAGRAM East 30 North 60m 120m

You walk 48.9 m to the north. You then turn 43.2 degrees to your right, so that you are facing 90-43.2 degrees north of east, and walk another 17.2 m. How far are you from where you originally started?