Angles of elevation

From points A and B on level ground, the angles of elevation of the top of a building are 25° and 37° respectively. If |AB| = 57m, calculate, to the nearest meter, the distances of the top of the building from A and B if they are both on the same side of the building.

Correct answer:

h =  69.73 m
d₁ =  165 m
d₂ =  116 m

Step-by-step explanation:

$d_2=\sqrt{h^2+b^2}=\sqrt{69.728^2+92.5322^2}=116\text{ m}$

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