Jambmaths question:
The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.
Option A:
148m
Option B:
382m
Option C:
282m
Option D:
248m
Jamb Maths Solution:
$\begin{align} & \tan \theta =\frac{opp}{adj} \\ & \tan 78{}^\circ =\frac{BC}{AB} \\ & BC=AB\tan 78{}^\circ \\ & BC=60m\tan 78{}^\circ \simeq 282m \\\end{align}$
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