Question 49

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waecmaths question: 

An object is 6m from the base of a mast. If the angle of depression of the object from the top of the mast is 50o, find, correct to 2 decimal places, the height of the mast

Option A: 

8.60m

Option B: 

7.83m

Option C: 

7.51m

Option D: 

7.15m

waecmaths solution: 

$\begin{align}  & \angle BCA=\angle DAC\text{  }\!\!\{\!\!\text{ Alternate angles }\!\!\}\!\!\text{ } \\ & \text{tan5}{{\text{0}}^{\circ }}=\frac{AB}{6m} \\ & AB=6m\tan {{50}^{\circ }}=6m\times 1.1918=7.15m\text{ to 2d}\text{.p} \\\end{align}$

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