Find the value of x to the nearest tenth.

hypotenuse: 16
angle: 72°

you should get 15.2

show work.
please answer

1 answer

We can use the trigonometric ratio for sine to solve this problem:

sin(72°) = opposite/hypotenuse

where opposite is the side opposite to the given angle, and x is the length of the opposite side.

Now we can solve for x:

x = sin(72°) * 16
x = 0.951 * 16
x = 15.216

Rounding to the nearest tenth, we get:

x ≈ 15.2