Question

PLEASE HELP WILL GIVE BRAINIEST HELPPP!!!!

Answer 1

Answer:

a. <B = 53°

b. BC = 14

c. x = 14

Step-by-step explanation:

• Sine(theta) = Opp/Hyp
• Cosine(theta) = Adj/Hyp
• Tan(theta) = Opp/Adj

a. <B = ?

Use Sine.

Sine(<B) = 12 /15

<B = Sin^-1(12/15)

<B = 53.13

<B = 53°

b. BC = ?

Either use Sine(<A) = BC/16 or Cosine(<C) = BC/16

Will be using Cosine.

Cosine(<C) = BC/16

Cosine(30°) = BC/16

BC = 16 * Cos(30°)

BC = 13.856...

BC = 14

c. x = ?

Looking at the triangle. The triangle is isosceles which mean two side angle or side length are the same.

x = 14

Answer 2

Answer:

A: 53.13

B:13.86

C: 14

Step-by-step explanation:

A can be found by using the trigonometric ratio Sin.

Sin=

$\frac{opp}{hyp}$

And we have our opposite side and hypotenuse. so insert it:

Sin=12/15

Therefore use sin inverse and input that fraction

$sin { }^{ - 1} ( \frac{12}{15} )$

=53.13010235

Rounded off to two decimals

=53. 13

B can be found using sin again. Since we know that Sin is opp/hyp and we have the hyp, we are now looking for the opp.

So use Sin(60)=BC/16

Multiply 16 on both sides to get: 16Sin(30)=BC

13.85640646=BC

rounded off to two decimals:

13.86

C can be found using Tan. Tan is opp/adjacent

We have the adjacent and we are looking for the opposite.

So use:

tan(45)=X/14

Multiply 14 on both sides

14tan(45)=X

14=X

Hope that helps!