Question

2. What is the measure of side KL?

Answer 1

3.6

Explanation:

Using Trigonometry we know;

SOH, CAH, TOA

Therefore we will use TOA as we want to find the opposite which will be

tan=opposite/adjacent

so, opposite=tan(x) times adjacent (rearranged the formula)

which then will be:

tan(24) × 8= 3.561829482

KL=3.6

Answer 2

KL ≈ 3.6

Explanation:

Using the tangent ratio in the right triangle

tan24° =
`(opposite)/(adjacent)` =
`(KL)/(KM)` =
`(KL)/(8)` ( multiply both sides by 8 )

8 × tan24° = KL , then

KL ≈ 3.6 ( to the nearest tenth )