Respuesta :

ktreyb
Tangent of an angle is opposite leg divided by adjacent leg:
tan A = 3/6 

The inverse of tangent then lets you solve for A:
tan⁻¹(3/6) = A

A ≈ 26.57 degrees
AL2006
-- This is a right triangle.  We know that because that little box 
is drawn at the right angle (C). 

-- Since it's a right triangle, we can use the side lengths 
in trigonometry equations.

-- The drawing tells us the length of the side OPPOSITE
the unknown angle (the 3), and also the length of the side
ADJACENT to the unknown angle (the 6).

-- While we're saying "opposite" and "adjacent" to ourselves,
that reminds us that the tangent of an angle is the quotient of

(opposite side) / (adjacent side).

-- So we know that the tangent of the unknown angle is (3/6) or (1/2) or 0.5 .   

-- With our calculator, our slide rule, our general knowledge, or the
tables in our Handbook of Chemistry and Physics, we look up to
find what angle has a tangent of 0.5 .   It's 26.57° .