Question

URGENTTTT HELPPPPPPP please

Answer 1

Given that ABC is a right triangle.

The length of AC = 10 and AB = 17

We need to determine the m∠B

The measure of ∠B:

The side opposite to ∠B is AC and the hypotenuse of the triangle is AB

The m∠B can be determined using the trigonometric identity,

$sin B=\frac{opp}{hyp}$

where $opp=AC$ and $hyp=AB$

Substituting, we get;

$sin B=\frac{AC}{AB}$

Substituting the values, we get;

$sinB=\frac{10}{17}$

$sin B=0.588$

Taking $sin^{-1}$ on both sides of the equation, we have;

$B=sin^{-1}(0.588)$

$B=36.015^{\circ}$

Rounding off to the nearest tenth, we get;

$B=36.0^{\circ}$

Hence, the measure of ∠B is 36.0°