Question

Determine the largest acute angle of a right triangle which has legs of length 2 and 3

Answer 1

sin, cos, tan, 180, you have so many options.

Lets solve for angle x.
Opposite to x is 3, and Adjacent is 2.
therefore, we should use TAN
\[\tan \theta= opposite / adjacent\]\[\tan \theta= 3/2\]\[\theta=\tan^{-1} (3/2)\]\[\theta=56.3\]

so now we have one angle.
its easier now to find y, cause we know all angles in a triangle add up to 180.
180=90+56.3+y
180-90-56.3=y
y=33.7

Our two angles are 56.3 and 33.7. Which ones larger?