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:

$\tan \theta=\frac{opposite}{adjacent}$

Substituting the values we get:

$\tan B=\frac{28.2}{45.8}$

Now, we use the inverse function of the tangent:

$B=\tan ^{-1}(\frac{28.2}{45.8})$

Solving the operations:

$B=31.62$

Therefore, angle B is 31.62°.