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. ( 41^{circ} ) ( 45^{circ} ) ( 49^{circ} ) ( 55^{circ} )

Explanation:

Step1: Calculate the value of the fraction

Calculate $\frac{8.9}{7.7}\approx1.156$.

Step2: Find the arctangent value

Use a calculator to find $x = \tan^{- 1}(1.156)$.
Since $\tan x=1.156$, then $x\approx49^{\circ}$ (using a calculator with the inverse - tangent function $\tan^{-1}$).

Answer:

C. $49^{\circ}$