Question

Use tangent to find the length of side AC

Answer 1

Answer: AC=4.15

Step-by-step explanation:

To solve this problem you must apply the prccedure shown below:

1. You know that the triangle is a right triangle.

2. Therfore, you can calculate the lenght AC as following:

$tan\alpha=opposite/adjacent$

Where:

opposite=AC

adjacent=8.9

3. When you solve for AC and substitute these values you obtain the following result:

$AC=8.9*tan(25\°)\\AC=4.15$

Answer 2

Answer:

AC = 4.15 is the answer.

Step-by-step explanation:

In the given triangle ABC the given parameters are side BC = 8.9

and the angle B is 25°.

We have to get the length of AC by using tangent values.

AS we know tan ∅ = Height/ Base

tan 25°= AC/BC

AC = BC × tan 25°

AC = 8.9 × 0.47

AC = 4.15

Therefore the length of the side AC = 4.15