9514 1404 393
Answer:
h ≈ 448.0 m
Step-by-step explanation:
The relevant trig function is the one that relates adjacent side length, opposite side length, and angle:
Tan = Opposite/Adjacent
Solving for the adjacent side length, we get ...
Adjacent = Opposite/Tan
For the two angles given, we want the value of the difference of the adjacent side lengths:
168 m = h/tan(41.2°) -h/tan(52.5°)
Then h is found by dividing by its coefficient:
h = (168 m)/(1/tan(41.2°) -1/tan(52.5°))
h ≈ 448.0 m
