Question

the equation ( \tan^{-1}(\frac{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. ( 55^{circ} ) ( 41^{circ} ) ( 49^{circ} ) ( 45^{circ} )

Explanation:

Step1: Calculate the value of \(\frac{8.9}{7.7}\)

\(\frac{8.9}{7.7}\approx1.1558\)

Step2: Find the arctangent of the result

\(x = \tan^{-1}(1.1558)\)
Using a calculator, \(x\approx49^{\circ}\)

Answer:

\(49^{\circ}\)