Respuesta :

answer is C=18.4

solve usint the tangent

Alright, lets get started.

Please refer the diagram, I have attached.

As per formula SOH CAH TOA,

[tex] Tan B = \frac{opposite}{adjacent} [/tex]

As per given values, angle B = 61

side b = 33.2

Putting the value back in formula

[tex] Tan 61 = \frac{33.2}{a} [/tex]

Putting the value of tan 61

[tex] 1.80 = \frac{33.2}{a} [/tex]

Multiplying a on both sides

[tex] a*1.80 = \frac{33.2}{a} * a [/tex]

a * 1.80 = 33.2

Dividing 1.80 in both sides

[tex] \frac{a*1.80}{1.80} = \frac{33.2}{1.80} [/tex]

a = 18.4 : Answer

Hope it will help :)

Ver imagen stokholm