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^\circ. Find the height of the tree correct to the nearest whole number.
A
148m
B
382m
C
282m
D
248m
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\tan 78 = \frac{h}{60}\)
\(h = 60 \tan 78\)
\(h = 60 \times 4.705 = 282.27m\)
\(\approxeq\) 282m to the nearest whole number.
Source: Myschool Past Questions Archive (Record #54944)