Question 25

Jambmaths question: 

From the top of a tree, the angle of depression to a point on the ground 5m away is 60o. Find the height of the tree.

Option A: 

$5\sqrt{3}m$

Option B: 

$\sqrt{55}m$

Option C: 

$4\sqrt{5}m$

Option D: 

$\sqrt{60}m$

Jamb Maths Solution: 

$\angle BCA=60{}^\circ \text{   }\!\!\{\!\!\text{ Alternate angles }\!\!\}\!\!\text{ }$

$\tan 60{}^\circ =\frac{AB}{BC}=\frac{AB}{5}$

$\sqrt{3}=\frac{AB}{5m}$

$AB=5\sqrt{3}m$

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