Question

Which equation can be used to solve for b?

Answer 1

tan (30) = 5/b
tangent = opposite / adjacent

Answer 2

Option A is correct

`\tan 30^(\circ) = (5)/(b)`

Explanation:

Using tangent ratio:

`\tan \theta = \frac{\text{Opposite side}}{\text{Adjacent side}}`

As per the statement:

In right angle triangle ACB:

Opposite side = BC = 5 cm

Adjacent side = AC = b cm

Hypotenuse side = AB = 10 cm

then;

`\tan 30^(\circ) = (BC)/(AC)`

Substitute the given values we have;

`\tan 30^(\circ) = (5)/(b)`

Therefore, the equation can be used to solve for b is,
`\tan 30^(\circ) = (5)/(b)`