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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