#4 need help with this one

x = 25.6

Step-by-step explanation:

As we can see, this is a right triangle, so there are known relationships

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 43

a: adjacent  = x

o: opposite

h: hypotenuse  = 35

sin α = o/h

cos α = a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

cos α = a/h

cos 43° = x / 35

cos 43° * 35 = x

25.59 = x

if we want to round to the nearest tenth

x = 25.59 = 25.6

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is 35

With m∠43° as the reference angle,

x represents the adjacent side of the right angle triangle.

The unknown side represents the opposite side of the right angle triangle.

To determine x, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 43 = x/35

x = 35Cos 43

x = 35 × 0.7314

x = 25.6 to the nearest tenth.

sine

step-by-step explanation: