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
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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.
