Question

How do I solve this ​

Answer 1

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