Can someone help me pls

Question

asked Jul 21, 2023 11.1k views

2 Answers

Ratsbane · Answer 1 · 2023-07-22T18:02:53+0000

Answer:

∠ KLM ≈ 33.7°

Explanation:

using Pythagoras' identity in right triangle JKM

KM² = JK² + JM² = 7² + 4.5² = 49 + 20.25 = 69.25 ( take square root of both sides )

KM =
√(69.25) ≈ 8.322 cm

using the sine ratio in right triangle KLM

sin KLM =
(opposite)/(hypotenuse) =
(KM)/(LM) =
(8.322)/(15) , then

∠ KLM =
sin^(-1) (
(8.322)/(15) ) ≈ 33.7° ( to 3 significant figures )