Hilary and dale leave camp and go for a long hike. after going 7 km due east, they turn and go another 8 km in the direction 60 degrees north of east. they plan to return along a straight path. how far from camp are they at this point? use an angle to describe the direction that hilary and dale should follow to reach their camp.

Step-by-step explanation:

Given

First they travel 7 km east , then they go 8 km in direction 60^{\circ} north of east

Position vector of first point

Position vector of w.r.t to origin

magnitude of will give the distance they are from original point

direction

North of east

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

they are simplified

step-by-step explanation: