Question

A man who is 2 meters tall stands on horizontal ground 30 meters from a tree. The angle of elevation of the top of the tree from his eyes is 28°. Estimate the height of the tree to the nearest WHOLE number

Answer 1

48 m

Explanation:

arctan(28) = TreeHeightSeenFromHisEyes/30

TreeHeightSeenFromHisEyes = 30 * arctan(28)

TreeHeightSeenFromHisEyes = 30 * 1.53509721411557

TreeHeightSeenFromHisEyes = 46.0529164234672

Do not forget to add 2 meters because that is approximately where the eyes of the man are located in respect to the ground on which the man is standing.

46.05 + 2m = 48,05m

Please note you need to answer for nearest WHOLE number, so the answer is 48 m