The equation tan-18.9
= x can be used to find the
What is the measure of angle LKJ? Round to the nearest
whole degree.
measure of angle LKJ.
41°
45°
O 49°
7.7 cm
8.9 cm
O 55°

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°

Ver imagen calculista

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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