Question

Using the triangle below, find the ratio please need help answering for a quiz

Answer 1

sin22° = 5/4

tan22° = 3/√55

As we know that , sinA = opposite/hypotenuse & tanA = opposite/adjacent

So here we can find sin22° , because they already given the sides opposite & hypotenuse . And we can't find tann22° because they given the value of opposite but not given the value of adjacent side of the angle 22°

Now finding the adjacent side using

Pythagoras theorem :-

• Hypotenuse² = Base² + Height²

=> 40² = Base² + 15²

=> 1600 - 225 = Base²

=> Base² = 1375

=> Base = √1375

=> Base = 5√55

Now ,

• tan22° = Opposite/Adjacent = 15/5√55 = 3/√55
• sin22° = Opposite/hypotenuse = 15/40 = 5/4