Mathematics 4024 · O Level · Right-angled triangles

Right-angled triangles — practice question

The figure depicts a vertical wind turbine whose blades measure 30 m in length.
(a)[3]

Calculate the length of $AB$.

(b)[4]

Calculate the angle of depression from $F$ to $E$.

(c(i))[1]

Calculate the distance travelled by $P$ after one complete revolution of the blade.

(c(ii))[2]

Calculate the speed of $P$ and express your answer in kilometres per hour.

(c(iii))[2]

Calculate $PQ$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Set up the sine-rule relation as $\dfrac{AB}{\sin115}=\dfrac{30}{\sin9}$

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