Find the value of x to the nearest tenth.

Question

hypotenuse: 16
angle a: 72°

show work.
please answer

Answer 1

We can use the trigonometric function cosine to find the value of x.

cos(72°) = adjacent/hypotenuse

We want to solve for the length of the adjacent side, which is x in this case.

cos(72°) = x/16

To isolate x, we can cross-multiply:

x = 16*cos(72°)

Using a calculator, we get:

x ≈ 4.9

Therefore, the value of x to the nearest tenth is 4.9.