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

Question

Mathematics

Parker Aguilar

8 June, 20:02

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

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Answers (1)

Know the Answer?

Zane Craig · Answer 1

The length of KL=6.4ft.

Step-by-step 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.