Respuesta :
Answer:
The measure of angle LKJ is 49°
Step-by-step explanation:
The correct question is
The equation tan−1 = {8.9/7.7} x can be used to find the measure of angle LKJ. What is the measure of angle LKJ?
Round to the nearest whole degree.
see the attached figure to better understand the problem
Let
x -----> the measure of angle LKJ
we know that
[tex]tan(x)=\frac{8.9}{7.7}[/tex]
so
[tex]x=tan^{-1}(\frac{8.9}{7.7})[/tex]
using a calculator
[tex]x=49.13\°[/tex]
Round to the nearest whole degree
[tex]x=49\°[/tex]
therefore
The measure of angle LKJ is 49°

The value of x to the nearest whole number is 49 degrees
SOH CAH TOA identity
From the given diagram, we have the following
Opposite = 8.9
Adjacent = 7.7
According to the rule;
tan x = 8.9/7.7
tan x = 1.16
x = arctan (1.16)
x = 49.13 degrees
Hence the value of x to the nearest whole number is 49 degrees
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