Math

QuestionFind angle CC in a right triangle where tanC=0.1405\tan C=0.1405. Round to the nearest degree.

Studdy Solution

STEP 1

Assumptions1. We are given a right triangle. . We are given that tanC=0.1405\tan C=0.1405.
3. We are asked to find the angle CC.
4. We are asked to approximate the angle to the nearest degree.

STEP 2

We can find the angle CC by using the inverse tangent function, which is often denoted as tan1\tan^{-1} or arctanarctan.C=tan1(0.1405)C = \tan^{-1}(0.1405)

STEP 3

Now, we can calculate the value of CC using a calculator that has the inverse tangent function. Make sure your calculator is in degree mode, not radian mode, because we want the answer in degrees.
C=tan1(0.1405)=8.01degreesC = \tan^{-1}(0.1405) =8.01\, degrees

STEP 4

Since we are asked to approximate the angle to the nearest degree, we round 8.018.01 degrees to 88 degrees.
C8degreesC \approx8\, degreesSo, the angle CC is approximately 88 degrees.

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