Question

What is tan (x)?

For the figure below?

Answer 1

First work out the length of the base  using Pythagoras:-

b^ 2 =  29^2 - 20^2 = 441
b = 21

so tan x = opposite side / adjacent side =  20/21  (answer)

Its A

Answer 2

Calculate the missing side of the triangle.
Use the Pythagorean theorem:

$a^2+20^2=29^2\\\\a^2+400=841\ \ \ |-400\\\\a^2=441\\\\a=\sqrt{441}\\\\a=21$


$\tan x=\dfrac{20}{21}$