Answer:
573.6 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship of right triangle sides and angles:
Tan = Opposite/Adjacent
This tells us ...
tan(61°) = (height)/(distance to first point)
or
distance to first point = height/tan(61°)
Likewise, ...
distance to second point = height/tan(32°)
Then the difference of the distances is ...
distance to second point - distance to first point
= height/tan(32°) -height/tan(61°)
600 ft = height × (1/tan(32°) -1/tan(61°))
Dividing by the coefficient of height, we have ...
height = (600 ft)/(1/tan(32°) -1/tan(61°)) ≈ (600 ft)/(1.04603) ≈ 573.6 ft
