Karen Morrison and Nick Hamshaw Solutions for Exercise 11: Exercise 15.11

  In triangle $PQR$, side $PQ=11 cm,$side $QR=9 cm$ and side $RP=8 cm.$. Calculate the size of $P$ correct to $1$ decimal place.

In triangle $STU$, $S=95°$, side $ST=10 m$ and side $SU=15 m.$ Calculate the length of side $TU$ and angle $T \&U$

  In triangle $XYZ$, side $XY=15 cm,$side $YZ=13 cm$ and side $ZX=8 cm.$ Calculate the size of $X$

  In triangle $XYZ$, side $XY=15 cm,$side $YZ=13 cm$ and side $ZX=8 cm.$ Calculate the size of $Y$

  In triangle $XYZ$, side $XY=15 cm,$side $YZ=13 cm$ and side $ZX=8 cm.$ Calculate the size of $Z$

A boat sails in a straight line from Aardvark Island on a bearing of $060°$. When the boat has sailed $8 km$ it reaches Beaver Island and then turns to sail on a bearing of $150°$. The boat remains on this bearing until it reaches Crow Island, $12 km$ from Beaver Island. On reaching Crow Island the boat’s pilot decides to return directly to Aardvark Island. Calculate the length of the return journey
 

A boat sails in a straight line from Aardvark Island on a bearing of $060°$. When the boat has sailed $8 km$ it reaches Beaver Island and then turns to sail on a bearing of $150°$. The boat remains on this bearing until it reaches Crow Island, $12 km$ from Beaver Island. On reaching Crow Island the boat’s pilot decides to return directly to Aardvark Island. Calculate the bearing on which the pilot must steer his boat to return to Aardvark Island.
 

Jason stands in the corner of a very large field. He walks , on a bearing of $030°$ a distance of $d$ meters. Jason then change direction and walks twice as far on a new bearing of $120°$. At the end of the walk Jason calculates both the distance he must walk and the bearing required to return to his original position. Given that the total distance walked is $120$ metres, what answer will Jason get if he is correct.