Question

Solve the triangle if a = 40 and B = 40°.b = 30.6418, C = 50.3877Ob 33.5640, C52.2163Ob = 50.3877, C = 30.6418Ob 52.2163, C = 33.5640

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

a = 40

B = 40°

b = ?

c = ?

Step 02:

α = 40°

a = adjacent

b = opposite

c = hypotenuse

cos α = adjacent / hypotenuse

cos 40 = a / c

cos 40 = 40 / c

c = 40 / cos 40 = 52.2163

sin α = opposite / hypotenuse

sin 40 = b / 52.2163

b = 52.2163 * sin 40 = 33.5640

The answer is:

b = 33.5640

c = 52.2163