Trigonometry Structured Questions | Cambridge O Level Mathematics (Syllabus D)

(a)

Show that $AE = 6\,\mathrm{m}$ and calculate the exact perpendicular height $DE$ .

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(b)

Calculate the length of the diagonal $DB$ .

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(c)

Point $C$ is placed such that $CD \perp BC$ and $CD = 7\,\mathrm{m}$ . Calculate the exact length of side $\ce{BC}$ in simplified surd form $k\sqrt{6}$ .

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(d)

Calculate the total area of the plot $ABCD$ .

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