Answer
The distance from the top of the building to the point on the ground is 469 m
Work Step by Step
We can convert the angle to degrees:
$\theta = 32^{\circ}30' = (32+\frac{30}{60})^{\circ} = 32.5^{\circ}$
Let $h$ be the height of the building. We can use $h$ and $\theta$ to find the distance $d$ from the top of the building:
$\frac{h}{d} = sin(\theta)$
$d = \frac{h}{sin~\theta}$
$d = \frac{252~m}{sin~(32.5^{\circ})}$
$d = 469~m$
The distance from the top of the building to the point on the ground is 469 m
