In ΔSTU, s=97, u=32 and ∠V=10° find all possible values of ∠S to the nearest 10th of a degree.
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Answer:
See below
Step-by-step explanation:
Here we need to prove that ,
Imagine a right angled triangle with one of its acute angle as .
- The side opposite to this angle will be perpendicular .
- Also we know that ,
And by Pythagoras theorem ,
Where the symbols have their usual meaning.
Now , taking LHS ,
- Substituting the respective values,
- From equation (i) ,
Since LHS = RHS ,
Hence Proved !
I hope this helps.