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 ∅°= [tex]\frac{Adjacent}{Hypotenuse}[/tex]
Now by interpreting the values from the diagram
Cos A°= [tex]\frac{2}{3}[/tex]
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°= [tex]Cos^{-1}[/tex]([tex]\frac{2}{3}[/tex])
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 :)
