$$\(A B D F\)$$ is a parallelogram and $$\(B C D E\)$$ is a straight line. $$\(A F=12 \mathrm{~cm}, A B=9 \mathrm{~cm}\)$$, angle $$\(C F D=40^{\circ}\)$$ and angle $$\(F D E=80^{\circ}\)$$. Calculate the height, $$\(h\)$$, of the parallelogram. $$\[ h= ....................................... \mathrm{cm} \]$$
Exam No：0580_w20_qp_41 Year：2020 Question No：4(b)(i)
Answer:
\(8.86\) or \(8.863 \ldots\)
Knowledge points:
E6.2.1 Apply Pythagoras’ theorem and the sine, cosine and tangent ratios for acute angles to the calculation of a side or of an angle of a right- angled triangle. (Angles will be quoted in degrees. Answers should be written in degrees and decimals to one decimal place.)
E6.2.3 Know that the perpendicular distance from a point to a line is the shortest distance to the line.
Solution:
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