Respuesta :

Step-by-step explanation:

Hey, there!

As it is a Right angled triangle, taking reference angle as angle B.

hypotenuse (h)= AB

perpendicular (p)= 12

base (b)= 24.

Now, let's look which ratio can be used here as p and b are given. Let's use tan ratio here.( as tan = p/b)

[tex] \tan(theta) = \frac{p}{b} [/tex]

[tex]tan(theta) = \frac{12}{24} [/tex]

[tex] \tan(theta) = \frac{1}{2} [/tex]

or, tan theta = (0.5)

Shifting tan to right side making it inverse.

or, theta = tan inverse (0.5)

Therefore, theta = 26.56° or 27° { by rounding off 26.56° we get 27°}.

Hope it helps......

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