Question

I need the answer to this question

Answer 1

`tanX=(4)/(3)`

Explanation:

the result of the tangent of an angle X is:

`tanX=(opp)/(adj)`

Where opp is the opposite leg of the angle, and adj is the adjacent leg of the angle.

For our triangle and the angle X we have opp=28, adj=21 and the hypothenuse is 35. So:

`tanX=(28)/(21)=(4)/(3)`

Answer 2

In the right triangle with 28-inch height and 35-inch width, the tangent of angle X is 4/5.

Within the right triangle presented, where the vertical side (opposite to angle X) measures 28 inches and the horizontal side (adjacent to angle X) measures 35 inches, we seek to determine the tangent of angle X.

Recalling the trigonometric definition of the tangent function, we know:

tan X = opposite side / adjacent side

In this instance, the opposite side corresponds to the 28-inch height, while the adjacent side represents the 35-inch width. Substituting these values into the formula:

tan X = 28 inches / 35 inches

Simplifying the expression yields:

tan X = 4/5

Therefore, the tangent of angle X in this right triangle is 4/5.

Complete question below:

In the right triangle shown, what is the value of tanX if the height of the triangle is 28 inches and the width of the triangle is 35 inches?