Question 36

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Jambmaths question: 

A man stands on a tree 150cm high and see a boat at an angle of depression of 74o, Find the distance of the boat from the base of the tree.

Option A: 

52cm

Option B: 

43cm

Option C: 

40cm

Option D: 

15cm

Jamb Maths Solution: 

$\begin{align}  & A\overset{\wedge }{\mathop{B}}\,D=B\overset{\wedge }{\mathop{D}}\,C={{74}^{\circ }} \\ & DC=\frac{150}{\tan {{74}^{\circ }}}=\frac{150}{\text{3}\text{.4874}} \\ & DC\approx 43cm \\\end{align}$

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