Question
Question In Delta HIJ,h=97cm,mangle H=144^circ and mangle I=24^circ Find the length of i, to the nearest 10th of a centimeter. Answer Attemptiout of 2 i=square cm
Solution
4.6
(315 Votes)
Eleanor
Elite · Tutor for 8 years
Answer
### 67.0 cm
Explanation
## Step 1: Finding Angle J### The sum of angles in a triangle is 180°. We are given
and
. Therefore,
.## Step 2: Applying the Law of Sines### The Law of Sines states that
. In our case, we have
. We are given
cm,
, and
. We want to find
. So, we have
.## Step 3: Solving for i### We can solve for
by multiplying both sides of the equation by
:
. Calculating this gives
. Rounding to the nearest tenth gives
cm.