Question

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

PLEASE EXPLAIN HOW YOU GOT THE ANSWER

Answer 1

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

Answer 2

From right triangle trigonometry, we have the following:


`\displaystyle{ tan(35^o)= (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)= (opposite \ side )/(adjacent \ side )` we substitute as follows and solve:



`\displaystyle{0.7= (x )/(12 )\\\\`


`x=0.7\cdot12=8.4`


Answer: 8.4 cm