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.
-
A.
148m -
B.
382m -
C.
282m -
D.
248m
Correct Answer: Option C
Explanation
(tan 78 = frac{h}{60})
(h = 60 tan 78)
(h = 60 times 4.705 = 282.27m)
(approxeq) 282m to the nearest whole number.
There is an explanation video available below.