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scoundrel [369]
3 years ago
6

URGENTTTT HELPPPPPPP please

Mathematics
1 answer:
Ahat [919]3 years ago
8 0

Given that ABC is a right triangle.

The length of AC = 10 and AB = 17

We need to determine the m∠B

<u>The measure of ∠B:</u>

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°

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