# 4 Geometry Questions

## Question

Question 1. Two sides of a triangle contain an angle of 150 degrees. One of these sides has a length of 8cm and the area of the triangle is 12cm squared. Find in cm correct to the nearest whole number the length of the side of the triangle opposite the angle of 150 degrees showing full details of working.

Question 2. A triangle has sides of length 3cm, 7cm and 8cm. The size of the angle opposite the side of length 7cm is 60 degrees. Find using the Sine Rule and the Cosine Rule correct to the nearest degree the size of the angle opposite the side of length 8cm showing full details of working.

Question 3. A triangle has sides of length 3cm, 7cm and 8cm. The size of the angle opposite the side of length 7cm is 60 degrees. State whether the Sine Rule of the Cosine Rule is the better one to use when finding the size of the angle opposite the side of length 8cm and explain your answer.

Question 4. The points P (0 degrees, 75 degrees West) and Q (0 degrees, 125 degrees East) lie on the surface of the Earth. Use the arc length formula l = 0 over 360 x 2 pie R with the radius of the Earth as 6400km to find in km correct to the nearest 100km the shortest distance on the surface of the Earth between points P and Q showing full details of working

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