Question

Please solve this for me!! its from khan academy

Answer 1

Given:

The given triangle ABC is a right angled triangle.

The length of AC is 4 units.

The measure of ∠B is 20°

We need to determine the length of BC.

Length of BC:

The length of BC can be determined using the trigonometric ratio.

Thus, we have;

`tan \ \theta=(opp)/(adj)`

From the figure, the side opposite to the angle is AC and adjacent is BC.

Substituting opp = AC and adj = BC, we get;

`tan \ 20^(\circ)=(AC)/(BC)`

Substituting AC = 4, we have;

`tan \ 20^(\circ)=(4)/(BC)`

Simplifying, we have;

`BC=(4)/(tan \ 20^(\circ))`

`BC=(4)/(0.364)`

`BC=10.99`

Thus, the length of BC is 10.99 units.