Question

Find the value of x. Round the length to the nearest tenth.

Answer 1

From right triangle trigonometry, we have the following:

$\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$, 


where the "opposite side" means the opposite side to angle with measure $35^o$, and "adjacent side" means the adjacent side to angle with measure $35^o$.

$tan(35^o)$ is a constant which can be found using a calculator.

In the calculator of the pc press: view - scientific - 35 - tan.

 This gives $tan(35^o)=0.7$


Thus, back in the equation $\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side }$ we substitute as follows and solve:


$\displaystyle{0.7= \frac{x }{12 }$

$x=0.7\cdot12=8.4$


Answer: 8.4 cm

Answer 2

A squared + B squared = c squared 
35 squared +12 squared = 1369