Answer:
27.6° to one decimal place
Step-by-step explanation:
- From the letter c draw a line down to the 23cm to make a square on the left and a triangle on the right
- use Pythagoras theorem to solve the bottom of the triangle on the triangle on the left side. So 6.5^2-6^2=6.25 √6.25=2.5
- separate the bottom length of the trapezium into chunks. We know the left side is 2.5 cm and the middle is 9cm as the top is 9cm. So the length of the triangle on the right is 23-(9+2.5)=11.5
- next use trigonometry we know the opposite side of the angle is 6 because six is on the opposite side and we know the base is 11.5
- Use TAN (T=O/A) but the inverse as we are looking for the angle. Type in the calculator - tan^-1(6/11.5). This equals 11.55 or 11.6° to one decimal place