Answered

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Answer:

  410.1 m

Step-by-step explanation:

In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.

  Tan = Opposite/Adjacent

__

setup

  tan(C) = BA/BC

  tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values

solution

Multiplying both sides of the equation by (608 m) gives ...

  (608 m)tan(34°) = BA

  BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths

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Additional comment

Other relations in the right triangle are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

These relations are collected in the mnemonic SOH CAH TOA.

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