Question

If a triangle ABC has angle A = 52°, side a = 178, side b = 234, then what is the measure of the angle B?

-B=117.7°
-B=62.3°
-B=117.7° or 62.3°
-No Solution

Answer 1

There is no solution.

Explanation:

When you plug in b/a*(sinA) you get a value greater than 1, meaning there are zero solutions

Answer 2

We are asked to solve for the angle of B such the given values of the triangle are enumerated below:
A = 52°
a = 178
B = ?
b = 234

To solve the angle of B, we need to apply law of sines such as the solution below:
sin A / a = sinB /b
sin52° / 178 = sinB / 234
sin52*234/178 = sinB
1.036 = sinB
B = no solution or syntax error

The answer is "No solution".