Question
Question In Delta KLM,m=6_(3)inches,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
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(365 Votes)
Thane
Professional ยท Tutor for 6 years
Answer
### 46 inches
Explanation
## Step 1: Finding Angle M### In
, the sum of the angles is
. We are given
and
. Therefore,
.## Step 2: Applying the Law of Sines### We can use the Law of Sines to find the length of side
. The Law of Sines states that
for any triangle. In our case, we have
. Substituting the given values, we get
.## Step 3: Calculating the Length of l### We can solve for
by multiplying both sides of the equation by
:
. Using a calculator, we find that
. Rounding to the nearest inch, we get
.