Mathematics 4024 · O Level · Non-right-angled triangles

Non-right-angled triangles — practice question

The diagram represents a triangular field $ABC$. Here, $AB = 150\text{ m}$, $BC = 187\text{ m}$, and $\angle ABC = 112^{\circ}$.
(a)[5]

Fencing is required around the perimeter of the field. The fencing is sold in rolls of length $20\text{ m}$. Calculate how many rolls of fencing are needed.

(b)[4]

Calculate the shortest distance from $B$ to $AC$ in the field.

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