Answer: The first step to solving this equation would be to use the distributive property to execute the parentheses.
Answer:
m∠LNK = 86.8°
Step-by-step explanation:
∵ LH ⊥ KN at H
∵ LK = MN
∵ LM = 3
∴ HN = (13 - 3) ÷ 2 + 3 = 8 ⇒ isosceles trapezium
∵ LN = 89
∴ LH = √(89² - 8²) = 88.64
∵ KH = (13 - 3) ÷ 2 = 5 ⇒ isosceles trapezium
∵ tan ∠LKN = LH/KH = 88.64/5
∴ m∠LKN = 86.77° ≅ 86.8°
We look up the cosine of 58 degrees which is
0.52992
Now we look up the arc sine of 0.52992
which equals 32 degrees
answer is a) 32 degrees