Question

Which equation can be used to solve for b? B 5 cm 10 cm 30°

Answer 1

The Question is Incomplete The complete question with figure is below.

Answer:

Therefore the equation to solve for b is

$\tan 30 = \dfrac{5}{b}$

Step-by-step explanation:

Given:

In Right Angle Triangle ABC

∠C = 90°

BC = 5 cm

AB = 10 cm

∠A = 30°

To Find:

b = ?

Solution:

In Right Angle Triangle ABC Tangent identity we have

$\tan A = \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}$

Substituting the values we get

$\tan 30 = \dfrac{BC}{AC}\\\\\tan 30 = \dfrac{5}{b}$

Therefore the equation to solve for b is

$\tan 30 = \dfrac{5}{b}$