Question

i really need help on this im bad at math anyway but i cant see graphs clearly first good answer will get brainliest Please help

In  ABC below, what is the measure of angle B? In particular, which option below gives an exact expression for m  Band an approximation that is correct to the nearest tenth of a degree?

Note: The triangle is not drawn to scale.

Answer 1

$\sin(b) = \frac{3}{4} \\ b = inverse \: sine \: of \: \frac{3}{4} = 48.6$

Answer 2

Answer:

Exact value,  $\angle B=\sin^{-1}(\frac{3}{4})$

Approximation,  $\angle B\approx 48.6^\circ$

Step-by-step explanation:

In ΔABC, ∠C=90°

We are given a right angle triangle.

Side AB is hypotenuse = 4

Side AC is one leg = 3

Using trigonometry identity:

$\sin\angle B=\dfrac{Perpendicular}{Hypotenuse}$

$\sin\angle B=\dfrac{AC}{AB}$

$\sin \angle B=\dfrac{3}{4}$

$\angle B=\sin^{-1}(\frac{3}{4})$

$\angle B=48.59^\circ\approx 48.6^\circ$

The exact value of $\angle B=\sin^{-1}(\frac{3}{4})$

The approximation of $\angle B\approx 48.6^\circ$