Determine the height of the triangle. round to the nearest foot.a. 12 ft c. 10 ft b. 14 ft d. 18 ft select the best answer from the choices provided

Option B is correct.

Step-by-step explanation:

We need to find the height of triangle.

The triangle is right angled triangle

We are given Hypotenuse = 25

Perpendicular = h

and angle Ф = 34°

We know that sinФ = Perpendicular / Hypotenuse

sin 34° = h / 25

0.56 = h/25

=> h = 0.56 * 25

=> h = 14 ft

So, the height of triangle is h= 14 ft

So, Option B is correct.

The equation is 6 + X = 4X - 18

The number is 12/5 or 2 2/5

Step-by-step explanation:

Let the number be X

6 + X = 4X - 18

Add 4X to both sides of the equation

6 + X + 4X = 18 - 4X + 4X

6 + 5X = 18

Subtract 6 from both sides of the equation

6 - 6 + 5X = 18 - 6

5X = 12

Divide both sides by 5

5X/5 = 12/5

X = 2 2/5

The number is 2 2/5