Question #41c0d
1 Answer
Explanation:
Draw the angle in the first quadrant. The hypotenuse will be
#cosx = "adjacent"/"hypotenuse"#
Then use the Pythagorean Theorem to solve for the remaining side, which comes out to 3.
#a^2 + b^2 = c^2#
#4^2 + b^2 = 5^2#
#16 + b^2 = 25#
#b^2 = 25 - 16#
#b^2 = 9#
#b = sqrt 9#
#b = 3#
So the side opposite to the angle
#tan(x) = "opposite"/ "adjacent"#
you have
#tanx= 3/4#