Question
Question In Delta KLM,m=63inches,mangle K=24^circ and mangle L=42^circ Find the length of I, to the nearest inch. Answer Attemptiout of 2 l=square inches
Solution
3.8
(252 Votes)
Quentin
Master · Tutor for 5 years
Answer
### 46 inches
Explanation
## Step 1: Finding Angle M### The sum of angles in a triangle is 180°. We have
and
. Therefore,
.## Step 2: Applying the Law of Sines### The Law of Sines states that
. In our case, we have
. Substituting the known values, we get
.## Step 3: Solving for l### We can rearrange the equation from Step 2 to solve for
:
. Calculating this gives
. Rounding to the nearest inch, we get
inches.