Question
Question In Delta XYZ,x=410inches,y=450inches and z=210inches Find the measure of angle X to the nearest degree. Answer Attemptiout of square
Answer
4.7
(322 Votes)
Blake
Master · Tutor for 5 years
Answer
###
Explanation
## Step 1: Identify the law to use### To find the measure of an angle in a triangle when all three sides are known, we use the Law of Cosines.## Step 2: Apply the Law of Cosines### The Law of Cosines states:
. Here, we need to find
, so we rearrange the formula to solve for
.## Step 3: Substitute the given values### Substitute
,
, and
into the formula:
## Step 4: Calculate the cosine value### Compute the values:
## Step 5: Find the angle using the inverse cosine function### Use the inverse cosine function to find
:
## Step 6: Round to the nearest degree### Round
to the nearest degree: