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Step-by-step explanation:
BC+CA=23
BC-CA = 7
Adding these two equations
2BC=30
BC=15
Substituting this value in the first equation
15+CA=23
CA=8
BC^{2} + AC^{2} = AB^{2} (by pythagorus theorem)
⇒(15*15)+(8*8)= AB^{2}
225+64= AB^{2}
AB^{2} =289
⇒AC=17
Now find sinA&TanB.
SinA=opposite/hypothesis=BC/AB= 15cm/17cm.
TanB=opposite/adjacent=AC/BC=
8cm/15cm.
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