Question

what is the work for this question ?

Answer 1

Answer:

$CA = 2.97516879$

$AB = 6.786871837$

Step-by-step explanation:

$\tan(B) = \frac{opposite}{adjacent}$

$\tan(26) = \frac{CA}{6.1}$

$(6.1) \tan(26) = \frac{CA}{6.1} (6.1)$

$(6.1) \tan(26) = CA$

$2.97516879 = CA$

$CA = 2.97516879$

$CA \approx3$

$\cos(B) = \frac{adjacent}{hypotenuse}$

$\cos(26) = \frac{6.1}{AB}$

$(AB) \cos(26) = \frac{6.1}{AB} (AB)$

$(AB) \cos(26) = 6.1$

$\frac{(AB) \cos(26) }{ \cos(26) } = \frac{6.1}{ \cos(26) }$

$AB = \frac{6.1}{ \cos(26) }$

$AB = 6.786871837$

$AB \approx6.8$