Kim and Mel agreed to meet at Lovely Lake at 10 30. Both girls left their house at 10 10. Lovely Lake is 24 km due south of Kim’s house. Mel’s house is north-east of Lovely Lake and is 18 km away from Kim’s house.



Calculate
(a) the bearing of Kim’s house from Mel’s house.
(b) the distance between Lovely Lake and Mel’s house.
(c) the bearing of Mel’s house from Lovely Lake.
The two friends want to be on time.
(d) Find the speed at which each of them must travel to be on time for the meeting.
(Hint: Draw a diagram before attempting to solve the problem.)

luv,
ms ang

Policemen, Mr Peter and Mr Roger, are doing a search-and-rescue operation at Sunshine Town yesterday. The team of policemen has to search a triangular area PQR for Mrs Queen’s baby. Mr Peter is stationed at point P and Mr Roger is stationed at point R. Point Q is where Mrs Queen’s house is located.


Mr Peter is 32 km away from Mrs Queen’s house and 40 km away from Mr Roger. Mrs Queen’s house is southwest of Mr Peter and the bearing of Mr Roger from Mr Peter is 120o.
(a) Calculate the area PQR which the policemen have to search.
(b) Find the distance between Mr Roger and Mrs Queen’s house.


Suddenly, Mr Peter heard a cry and spotted Mrs Queen’s baby in a bush at point B inside the triangular area PQR. The bearings of the baby from Mr Peter and Mr Roger are 174o and 065o respectively.
(c) Calculate how far away Mr Peter is from the baby so that he can be there as soon as possible.
(Hint: Draw a diagram before attempting to solve the problem.)

luv,
ms ang

Take a look at the conversation between Klever and Cutie below and fill in the blanks.




luv,
ms ang