Question

In right triangle ABC A=76° a=13 and

Answer 1

c

Explanation:

14 3.2 13.4

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Answer 2

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:

`tan 14 = \frac { b } { c }`

`tan 14 = \frac { b } { 1 3 }`

b = 3.2

Side c:

`sin 76 = \frac { 1 3 } { c }`

`c = \frac { 1 3 } { s i n 7 6 }`

c = 13.4