Question

Which equation can be used to find B in the triangle below?

10
tan B - 8/10
tan B- 8/6
Cose - 10/6
cose 10/8

Answer 1

`tan(B)=(8)/(6)`

Explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC of the figure

1) The tangent of angle B is equal to divide the opposite side angle B to the adjacent side to angle B

so

`tan(B)=(AC)/(BC)`

substitute the given values

`tan(B)=(8)/(6)`

2) The sine of angle B is equal to divide the opposite side angle B to the hypotenuse

`sin(B)=(AC)/(AB)`

substitute the given values

`sin(B)=(8)/(10)`

3) The cosine of angle B is equal to divide the adjacent side angle B to the hypotenuse

`cos(B)=(BC)/(AB)`

substitute the given values

`cos(B)=(6)/(10)`

therefore

The answer is

`tan(B)=(8)/(6)`