Answer
$473.2m$
Work Step by Step
Step 1. Use the figure given in the problem, in the right triangle to the left side with angle $45^\circ$, the length of
the side on the ground is $h\cdot cot45^\circ=h$
Step 2. Similarly, in the right triangle to the right side with angle $75^\circ$, the length of
the side on the ground is $h\cdot cot75^\circ=0.268h$
Step 3. The sum of the results above has a total length of 600m as shown in the figure, thus we have
$h+0.268h=600$ which gives $h\approx473.2m$
