Question

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

Answer 1

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;

$tan \ \theta=\frac{EF}{DE}$

Substituting $\theta=25^{\circ}$, EF = 12 and DE = y, we get;

$tan \ 30^{\circ}=\frac{12}{y}$

Simplifying, we get;

$y=\frac{12}{tan \ 30^{\circ}}$

$y=\frac{12}{0.577}$

$y=20.797$

Rounding off to the nearest tenth, we get;

$y=20.8$

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

Answer 2

Answer:

25.7

Step-by-step explanation:

tan25 = 12/y

y = 12/tan25

y = 25.73408305