Question
Question In Delta LMN,l=170inches,mangle M=121^circ and mangle N=40^circ Find the length of n to the nearest inch. Answer Attemptiout of 2 n=square inches
Solution
4.2
(320 Votes)
Walter
Advanced · Tutor for 1 years
Answer
### 336 inches
Explanation
## Step 1: Finding Angle L### The sum of angles in a triangle is 180°. We have
and
. Therefore,
.## Step 2: Applying the Law of Sines### We can use the Law of Sines to find the length of side n. The Law of Sines states that
for any triangle. In our case, we have
. Plugging in the known values, we get
.## Step 3: Solving for n### We can solve for n by multiplying both sides of the equation by
:
. Calculating this gives
. Rounding to the nearest inch, we get
.