i need to find the measure of angle B to the nearest degree if tanB=3.4874
tanB=3.4874
therefore, angle B= tan^-1(3.4874)
=angle B=73.9
To find the measure of angle B, you can use the inverse tangent function (tan^-1) or the arctan function on a calculator.
Step 1: Input the value of tanB into your calculator: tan^-1(3.4874) or arctan(3.4874).
Step 2: Calculate the inverse tangent or arctan value: tan^-1(3.4874) = 74.4723° (approximately).
Step 3: Round the result to the nearest degree: The measure of angle B is approximately 74°.
To find the measure of angle B to the nearest degree given the value of tan(B), you will need to use the inverse tangent function (also known as arctan or tan^(-1)).
The inverse tangent function can be found on most scientific calculators or by using math software like MATLAB or Python's math module.
Here's how you can find the measure of angle B:
1. Enter the value of tan(B) into your calculator or math software: tan(B) = 3.4874
2. Use the inverse tangent function (usually labeled as "tan^(-1)" or "arctan") to find the measure of angle B.
On a calculator: Press the inverse tangent button (often denoted as "tan^(-1)" or "arctan") and then enter the value of tan(B). For example, if you have a scientific calculator, you would press "tan^(-1)" followed by "3.4874".
In math software: Use the inverse tangent function. In MATLAB, you can use the "atan" function. In Python, you can use the "math.atan" function from the math module.
3. Calculate the inverse tangent to find the measure of angle B.
On a calculator: Press the equals (=) button or the calculate button to obtain the result. The calculator will display the measure of angle B.
In math software: Use the inverse tangent function to find the measure of angle B. The software will return the result as a numerical value.
4. Round the measure of angle B to the nearest degree. Since the question asks for the measure to the nearest degree, if you obtained a decimal value for angle B, round it to the nearest whole number.
For example, if the calculated angle B is 60.345 degrees, round it to 60 degrees.
So, using the inverse tangent function with the value of tan(B) = 3.4874, you will find the measure of angle B to the nearest degree.