Question 25

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waecmaths question: 

An object is 6m away from a mast. 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: 

7.51m

Option C: 

7.15m

Option D: 

1.19m

waecmaths solution: 

    \[\begin{align}  & \angle AYZ=\angle XZY={{50}^{\circ }}\text{  }\!\!\{\!\!\text{ alternate angles }\!\!\}\!\!\text{ } \\ & YX=XZ\tan {{50}^{\circ }}=6m\tan {{50}^{\circ }}=7.15m \\\end{align}\]

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