Respuesta :

Answer:

A = 38°

Step-by-step explanation:

We are going to use cosine law to find angle A where

a = 4.7

b = 3.9 m

c = 2.9 m

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \alpha ) [/tex]

or

[tex] \cos( \alpha ) = \frac{ {a}^{2} + {b}^{2} - {c}^{2} }{2ab} [/tex]

cos A = [(4.7)^2 + (3.9)^2 - (2.9)^2]/2(4.7)(3.9)

= 28.89/36.66

= 0.788

A = arccos(0.788) = 38°