Answer:
Step-by-step explanation:
We have a right angled triangle, ABC, where A = 76°, a = 13 and ∠C = 90°.
We are to find the measure of angle B, length of sides b and c.
Angle B:
∠B = 180 - (90 + 76) = 14°
Side b:
[tex] tan 14 = \frac { b } { c } [/tex]
[tex] tan 14 = \frac { b } { 1 3 } [/tex]
b = 3.2
Side c:
[tex] sin 76 = \frac { 1 3 } { c } [/tex]
[tex] c = \frac { 1 3 } { s i n 7 6 } [/tex]
c = 13.4
