Question

B = Round your answer to the nearest hundredth.

Answer 1

Answer( angle b) = 41.82 °

Answer 2

Answer:

Angle B = 48.19

#Rounded off to the nearest hundredth after the decimal point

Step-by-step explanation:

As Seen in the diagram is a right angled triangle and by using the infamous laws of Trigonometry, we can use the Trigonometric ratios in an indirect sense to find our answer...

Now to solve this question we need to first see what values are given to us! So the values given to us are

Hypotenuse= 3

Adjacent= 2

C= 90° (since it is the angle opposite to the hypotenuse and if observed with every right angled triangle, it will always be the case)

B=?

A=?

Questions objective= find B

I shall provide a labelled version of right angled triangle which shall aid where is the adjacent, opposite or the Hypotenuse below

Now coming back to the question,

The Opposite side of the angle we are trying to find is the adjacent and there are many Trigonometric ratios but for the sake of the question, we will need to use the one affiliated with Cosine

the way we shall interpret it is quite simple

Cos ∅°=  $\frac{Adjacent}{Hypotenuse}$

Now by interpreting the values from the diagram

Cos A°= $\frac{2}{3}$

Now to find the actual value of a number that has an operation that disrupts the actual value, we only need to use the inverse of the operation on it to find the actual value

so by this statement we need to put an inverse of Cos

∴ A°= $Cos^{-1}$($\frac{2}{3}$)

A°= 48.1896851

Now we need to subtract the value of 180° - (Angle A + Angle C)

by doing so we will get the value of 41.82 (rounded off to the nearest hundredth)

hence B= 41.82 °

We can add up all the values and it will be approximately be equal to 180 (keep in mind that some of these values of triangle are irrational due to which they never end)

Please do double-check it as I could've made a mistake too

Till then a Thank You, aa 5 Stars or even better, A BRAINIEST will make my day

Take care of yourself and I guess the answers complete :)