Core stretch From point $X$ on level ground, the angle of elevation of the top $A$ of a vertical

Question

Core stretch From point $X$ on level ground, the angle of elevation of the top $A$ of a vertical tree $AB$ is $28^\circ$. After moving 20 m directly away from the tree to $Y$, the angle is $19^\circ$. Find the height $AB$ to 3 significant figures. $20\text{ m}$ $B$ $A$ $X$ $Y$ $19^\circ$ $28^\circ$ Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Accepted Answer

$19.5$ m (3 s.f.).

Tree height from two observation points

Tree height from two observation points

Solution:

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