The equation tan−1(8.97.7)=𝑥 can be used to find the measure of angle LKJ. What is the measure of angle LKJ? Round to the nearest whole degree.
Question
The equation
tan^{-1}(8.97.7) = x
can be used to find the measure of angle LKJ.
What is the measure of angle LKJ? Round to the nearest whole degree.
Solution
To find the measure of angle LKJ, we need to calculate the inverse tangent (tan^-1) of the ratio 8.9/7.7.
Step 1: Calculate the ratio 8.9/7.7 = 1.1558441558441559
Step 2: Find the inverse tangent of this ratio. Most calculators have a function for this, often labeled as "tan^-1" or "atan".
Step 3: Input the ratio into the inverse tangent function to get the angle in radians.
Step 4: Convert the radians to degrees by multiplying by 180/π.
Step 5: Round to the nearest whole degree.
Doing these calculations, we find that the measure of angle LKJ is approximately 49 degrees.
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