Question

What is the measure of

angle L?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

m/_L = ___°

Answer 1

Hi. I just took the test. The answer is 72.54

Answer 2

Answer: L = 1.27 radians.

Explanation:

Here we have a triangle rectangle, for the triangle rectangle and one given angle θ we have the relations:

cos(θ) = (adjacent cathetus)/hypotenuse

sin(θ) = (opposite cathetus)/hypotenuse

tan(θ) = (opposite cathetus)/(adjacent cathetus)

Here we have the adjacent cathetus = 18in, and the hypotenuse = 60in.

Sowe can use the cosine relation:

Cos(L) = 18in/60in = 0.3

Acos(cos(L)) = L = Acos(0.3) = 1.266

We want to round it to the nearest hundredth, so we would have:

L = 1.27 radians.