Question

What is the measure of angle A, to the nearest degree?​

Answer 1

We will solve it using the trigonometric ratio i.e. SOH

`\boxed{ \sf \: \sin( \theta) = (opposite)/(hypotenuse) }`

In our case,

• Opposite = 20
• Hypotenuse = 25

`\tt \sin( \theta) = (20)/(25)`

`\tt \sin( \theta) = (4)/(5)`

`\tt \theta = \arcsin( (4)/(5) )`

`\tt \theta = 53.1 \degree`

• ∠A = 53° (when rounded off)