In a triangle, the sides are given as $$a = 7$$ cm, $$b = 9$$ cm, and the angle opposite to side $$a$$ is $$45^\circ$$ . Which law would be appropriate to find the angle opposite to side $$b$$ ?

A triangle has sides $$a = 8$$ cm, $$b = 15$$ cm, and $$c = 17$$ cm. Which law should be used to find the angle opposite to side $$c$$ ?

A ladder is leaning against a wall, making an angle of $$60^\circ$$ with the ground. If the foot of the ladder is 3 metres away from the wall, how long is the ladder?

A triangle has sides $$a = 10$$ cm, $$b = 12$$ cm, and angle $$C = 30^\circ$$ . What is the length of side $$c$$ ?

A pilot is flying from point A to point B, which is 200 km away. The angle of elevation from point A to point B is $$20^\circ$$ . What is the altitude of point B from point A?

In a triangle, the sides are $$a = 5$$ cm, $$b = 7$$ cm, and $$c = 10$$ cm. Which law should be used to find the angle opposite to side $$a$$ ?

A triangle has sides $$a = 9$$ cm, $$b = 12$$ cm, and angle $$C = 45^\circ$$ . What is the length of side $$c$$ ?

A ship sails 100 km east and then 150 km north. What is the straight-line distance from the starting point to the final position of the ship?

A triangle has sides $$a = 6$$ cm, $$b = 8$$ cm, and angle $$C = 60^\circ$$ . What is the length of side $$c$$ ?

A kite is flying at a height of 60 metres. If the string attached to the kite makes an angle of $$45^\circ$$ with the ground, what is the length of the string?

A triangle has sides $$a = 4$$ cm, $$b = 6$$ cm, and angle $$C = 90^\circ$$ . What is the length of side $$c$$ ?

A triangle has sides $$a = 5$$ cm, $$b = 12$$ cm, and angle $$C=75^{\circ}$$ . What is the length of side $$c$$ ?

A ladder is leaning against a wall, making an angle of $$45^\circ$$ with the ground. If the foot of the ladder is 4 metres away from the wall, how long is the ladder?

A triangle has sides $$a = 3$$ cm, $$b = 4$$ cm, and angle $$C = 60^\circ$$ . What is the length of side $$c$$ ?