Answer:
i) 3.7 cm
ii) 3.0 cm
Explanation:
When you are given side lengths and angle measures, trig functions will generally be involved in solving the triangle. The mnemonic SOH CAH TOA is intended to remind you of the trig relations pertaining to a right triangle.
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i)
The sides adjacent to the angle and opposite the angle are given. The relevant relation is ...
Tan = Opposite/Adjacent
tan(63°) = k/(1.9 cm)
k = (1.9 cm)tan(63°) ≈ 3.7 cm
The length k is about 3.7 cm.
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ii)
Again, the tangent function can be used to solve this triangle.
tan(42°) = (2.7 cm)/p
p = (2.7 cm)/tan(42°) ≈ 3.0 cm
The length p is about 3.0 cm.