9514 1404 393
Answer:
a = 169 ft, b = 363 ft, B = 65°
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the necessary trig relations. For side 'a', opposite the given angle A, the appropriate relation is ...
Sin = Opposite/Hypotenuse
a = (400 ft)sin(25°) ≈ 169 ft
For side 'b', adjacent to the given angle, the appropriate relation is ...
Cos = Adjacent/Hypotenuse
b = (400 ft)cos(25°) ≈ 363 ft
Of course angle B is the complement of angle A:
B = 90° -25° = 65°
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In summary, ...
(a, b, A) = (169 ft, 363 ft, 65°)
