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

$\boxed{ \sf \: \sin( \theta) = \frac{opposite}{hypotenuse} }$

In our case,

• Opposite = 20
• Hypotenuse = 25

$\tt \sin( \theta) = \frac{20}{25}$

$\tt \sin( \theta) = \frac{4}{5}$

$\tt \theta = \arcsin( \frac{4}{5} )$

$\tt \theta = 53.1 \degree$

• ∠A = 53° (when rounded off)

Answer 2

Answer:

90 degree

I hope I am correct