Question

In ΔKLM, the measure of ∠M=90°, the measure of ∠K=75°, and LM = 6.3 feet. Find the length of KL to the nearest tenth of a foot. K L M

Answer 1

6.5

Explanation:

Answer 2

The length of KL=6.4ft.

Explanation:

Given that,

∠ M = 90°

∠K = 75°

So, ∠L = 180°-90°-75°

∠L = 15°

LM= 6.3ft

75° = 6.3

15° = ?

(15/75) 6.3= 1.26ft

KM = 1.26ft.

It's a right triangle

Using pythogoras theorem,

KL² = KM² + ML²

KL² = (1.26)² + (6.3)²

KL² = 1.58 + 39.69

KL² = 41.27

KL = 6.4ft.