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Question 2

1pts
Find the angle measure. Round to the nearest tenth.

tan x=1.16

x=
degrees
(Enter your answer as a number with one decimal place.)

Question $2$ $\newline$ $1 \mathrm{pts}$ $\newline$ Find the angle measure. Round to the nearest tenth. $\newline$ $\tan x=1.16$ $\newline$ $\mathrm{x}=$ $\newline$ degrees $\newline$ (Enter your answer as a number with one decimal place.)

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Convert between customary and metric systems

Full solution

Q. Question

2

\newline

1 \mathrm{pts}

\newline

Find the angle measure. Round to the nearest tenth.

\newline

\tan x=1.16

\newline

\mathrm{x}=

\newline

degrees

\newline

(Enter your answer as a number with one decimal place.)

Understand the Problem: Understand the problem. $\newline$ We need to find the measure of an angle $x$ whose tangent is $1.16$ . To do this, we will use the inverse tangent function, which is often denoted as $\tan^{-1}$ or $\arctan$ .
Use a Calculator: Use a calculator to find the angle. $\newline$ We will input the value into a calculator to find the angle whose tangent is $1.16$ . Make sure the calculator is set to degree mode since we want the answer in degrees. $\newline$ Calculation: $x = \arctan(1.16)$
Round the Result: Round the result to the nearest tenth. $\newline$ After using the calculator, we get the angle measure. We then round this number to one decimal place as instructed.
Verify the Result: Verify the result. $\newline$ After rounding, we should check to make sure the calculator was indeed in degree mode and that we have correctly rounded the result to the nearest tenth.

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