Answer: 60 degree
Step-by-step explanation:
If the measure of ∠N = 90°, this shows that ΔLMN is a right angle triangle where
The adjacent side = NL = 3.5 feet
The opposite side = MN = 6 feet,
To find the measure of ∠L to the, we need to first find the hypothenus side,
So, we will use pythagorean theorem
LM^2 = MN^2 + NL^2
Substitutes MN and NL into the formula
LM^2 = 6^2 + 3.5^2
LM^2 = 36 + 12.25
LM = sqrt(48.25)
LM = 6.9 feet
To Find the measure of ∠L to the nearest degree, let's use trigonometry ratio Soh Cah Toa
SinØ = opposite/hypothenus
Substitute the opposite and hypothenus value into the formula
SinØ = 6/6.9 = 0.86377
Ø = sin^-1(0.86377)
Ø = 59.74 degree
The measure of ∠L to the nearest degree is 60 degrees approximately
