Question

20. what is the missing value to the nearest hundredth

tan _ = 15

• 0.97°
• 0.27°
• 88.09°
• 86.19°

Answer 1

86.19°

Explanation:

Let x represent the missing value.

The given trigonometric equation becomes:

`\tan x=15`

We take the inverse tangent of both sides to obtain:

`\tan^(-1)(\tan x)=\tan^(-1)(15)`

This implies that;

`x=\tan^(-1)(15)`

We use at least a scientific calculator to evaluate this and obtain:

`x=86.18592517\degree`

To the nearest hundredth, the missing value is
`x=86.19\degree`