Answer:
- o = 20.18; b = 13.51
- i = 12.68; n = 27.19
Explanation:
The mnemonic SOH CAH TOA reminds you of the relations between sides and trig functions in right triangles. These can be used to solve the triangles shown.
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1.
Sin = Opposite/Hypotense
sin(48°) = 15/o
o = 15/sin(48°) ≈ 20.18 . . . . . . . . . multiply by o/sin(48°)
Cos = Adjacent/Hypotenuse
cos(48°) = b/o
b = o·cos(48°) = 20.18·cos(48°) ≈ 13.51
For triangle BOX, o = 20.18, b = 13.51.
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2.
Sin = Opposite/Hypotense
sin(25°) = i/30
i = 30·sin(25°) ≈ 12.68
Cos = Adjacent/Hypotenuse
cos(25°) = n/30
n = 30·cos(25°) ≈ 27.19
For triangle TIN, i = 12.68, n = 27.19.