Question

Tan x° = 3.5 find the value of x to the nearest tenth

Answer 1

To find x, it would require the use of calculator having inverse trignometric function keys. Calculate x= tan−13.5, which would come out to be 74.1 to the nearest tenth

Answer 2

`x\approx 74.1^(\circ)`

Explanation:

We have been given an equation
`\text{tan}(x)=3.5`. We are asked to find the value of x to the nearest tenth.

We will use arctan to solve our given problem.

`x=\text{tan}^(-1)(3.5)`

`x=74.054604099077^(\circ)`

Upon rounding our answer to the nearest tenth, we will get:

`x\approx 74.1^(\circ)`

Therefore, the value of x is 74.1 degrees.