Question

Find the value of the variable. Round your answer to the nearest tenth

Answer 1

25.7

Explanation:

tan25 = 12/y

y = 12/tan25

y = 25.73408305

Answer 2

Given:

The triangle DEF is a right triangle.

The length of EF is 12 units.

The length of DE is y units.

The measure of angle D is 25°

We need to determine the value of y.

Value of the variable:

The value of the variable y can be determined using the trigonometric ratio.

Thus, we have;

`tan \ \theta=(EF)/(DE)`

Substituting
`\theta=25^(\circ)`, EF = 12 and DE = y, we get;

`tan \ 30^(\circ)=(12)/(y)`

Simplifying, we get;

`y=(12)/(tan \ 30^(\circ))`

`y=(12)/(0.577)`

`y=20.797`

Rounding off to the nearest tenth, we get;

`y=20.8`

Thus, the length of the variable y is 20.8 units.