Sine and cosine rules and area of a triangleAQA A-Level Maths: Mind map

Exam questions on Sine and cosine rules and area of a triangle

1. In triangle $ABC$, $AB=9$ cm, $BC=14$ cm and $A\hat{B}C=40^\circ$.
   Find the size of angle $B\hat{A}C$, to 1 decimal place.2 marks
2. In triangle $LMN$, $LM=6$ m, $LN=10$ m and $MN=14$ m.
   Find the size of the smallest angle of the triangle, to 1 decimal place.2 marks
3. Points $A$ and $B$ are $120$ m apart on a straight road on level ground. A tower $T$ stands in a field, with $T\hat{A}B=52^\circ$ and $T\hat{B}A=71^\circ$. A calculator may be used.
   Find the distance $AT$, to 3 significant figures.3 marks