Question

Ght mangles What is m ZB to the nearest tenth? 28.2 c 45.8 B m ZB

Answer 1

We are given a right triangle and we are asked to determine the angle B given the opposite and adjacent sides. To do that we will use the function tangent since this is defined as:

`\tan \theta=(opposite)/(adjacent)`

Substituting the values we get:

`\tan B=(28.2)/(45.8)`

Now, we use the inverse function of the tangent:

`B=\tan ^(-1)((28.2)/(45.8))`

Solving the operations:

`B=31.62`

Therefore, angle B is 31.62°.