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.
148 m
B.
382 m
C.
282 m
D.
248 m
Correct Answer: 282 m
Explanation
tan78 = h/60
h = 60tan78
h = 60 × 4.705 = 282.27m ≊
282m to the nearest whole number.
tan78 = h/60
h = 60tan78
h = 60 × 4.705 = 282.27m ≊
282m to the nearest whole number.