Posted by David on .
To the nearest degree, determine the measure of angle X for each value of
tan X
a. tan X = 0.49
Just not sure how to solve these questions

trig 
MathMate,
Tan^{1}(0.49) is not one of those which have exact answers. You will have to resort to a calculator or a table of tangents.
On a calculator, enter 0.49 and press the button tan^{1}, which is usually preceded by a yellow key, and is written above the tan key. I get about 26°.