1. Tardigrade
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  3. Mathematics
  4. The angle of elevation of the top of a vertical tower from a point A, due east of it is 45°. The angle of elevation of the top of the same tower from a point B, due south of A is 30°. If the distance between A and B is 54 √2 m, then find the height of the tower (in metres).

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Q. The angle of elevation of the top of a vertical tower from a point A, due east of it is $45^{\circ}$. The angle of elevation of the top of the same tower from a point $B$, due south of $A$ is $30^{\circ}$. If the distance between $A$ and $B$ is $54 \sqrt{2} \,m$, then find the height of the tower (in metres).

Trigonometric Functions

Solution:

Correct answer is '54.00'