Question

In right triangle ABC, B = 51° and AB = 14.

BC = _____

8.8
10.8
11.3

Answer 1

Given: the triangle is a right triangle, find a.

(The side opposite angle A.)

Answer:

a = 8.8104 ≈ 8.8

Explanation:

∠A = ?, ∠B = 51°, ∠C = 90°

∠A = 180° - ( ∠B + ∠C )

∠A = 180° - ( 51° + 90° ) = 180° - 39°

∠A = 39°

`(a)/(sin A)=(b)/(sin B) =(c)/(sin C)\\\\(a)/(sin39degrees)=(14)/(sin90degrees)\\\\(14)/(sin90degrees)*sin39degrees\\\\= 14 * 0.629\\= 8.8104`

So side a or BC = 8.8

Answer 2

In right triangle ABC, B= 51^o and AB=14. BC is 8.8