Mathematics for IGCSE & O level - Pythagoras' Theorem And Trigonometry (Section 1 - No. 39)
If the height of a tree is 10 meters and the angle of elevation from a point on the ground to the top of the tree is 60 degrees, what is the approximate distance from the observer to the base of the tree?
5 meters
8.66 meters
10 meters
5.77 meters
Explanation
Use tangent: tan(60) = 10/distance. distance = 10 / tan(60) ≈ 5.77 meters.
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