Struggling to understand! :(

[SkippyJack]

I have the following question which I'm trying to work through but the wording is tripping me up, especially the beginning with the drawing. If I could just get started with that, then maybe I could work out the rest. Thanks.

A ship leaves a port P and sails in a direction 36 degrees east of south to reach a port Q. It then sets out from port Q and sails in a direction 52 degrees west of south to reach another port R that is 80km directly south of port P.(You may assume that all distances are flat and in a straight line).

(a) Draw a diagram showing the points P, Q and R, marking in the angles and the length that you are given.

(b) Find the distance that the ship sails to get to port Q, that is, the length of theside PQ.

(c) A distress signal is received from a small boat situated at point D, due west of port Q and due south of port P. Add a line to your diagram that shows the shortest distance from port Q to this boat. What angle does the line QD make with PR?

(d) Each port has an emergency crew that they can send to the distressed boat. Assuming that each crew can travel at the same speed to get there, which crew would be most likely to get there quickest?

 

[stapel]

I have the following question which I'm trying to work through but the wording is tripping me up, especially the beginning with the drawing. If I could just get started with that, then maybe I could work out the rest. Thanks.

A ship leaves a port P and sails in a direction 36 degrees east of south to reach a port Q. It then sets out from port Q and sails in a direction 52 degrees west of south to reach another port R that is 80km directly south of port P.(You may assume that all distances are flat and in a straight line).

They were supposed to have covered angles, directions, drawing points and lines, etc, before assigning homework on it. :shock: You may want to study some online lessons before attempting what follows.

i) Draw a dot. Label it "P".

ii) Use the standard orientation of "up" for "north", "right" for "east", etc.

iii) Note that "south" is then "down", so "east of south" is "right of down". Draw a line from P going straight down. Draw another line from P a measured thirty-six degrees from the previous line, creating an angle to the right of the previous line, with its vertex being at P.

iv) An inch or two down the terminal side of the angle, draw another dot. Label it "Q".

v) From Q, draw another "south" line.

vi) From Q, draw a line to the left (that is, "west") of the previous line, creating a measured angle of fifty-two degrees.

vii) An inch or two down the terminal side of this second angle, draw another dot. Label it "R".

viii) Draw a line from P to R. It "should" be a "south" line. If it isn't, either fiddle with the other dots and lines (keeping the angles the same), or else just leave things be, for now.

ix) Label the line segment PR with "80".

That should be enough to get your picture drawn.

 

[SkippyJack]

Thank you for replying.

That makes sense, so I'll try that and see how I get on with the other questions.

Appreciate the help.