Respuesta :

Answer:

D) 32.5 ft

Step-by-step explanation:

Here we have to use the trigonometric ratio.

We need to find the length of the hypotenuse.

We use sin ratio.

Sin 38 = Opposite / Hypotenuse

Here opposite = 20, Hypotenuse = Length of the six cars

sin 38 = 20 / length of the six cars

The length of six cars = 20 / sin 38

The length of the six cars = 32.48

Which is closest to 32.5 ft

Thank you.

alinakincsem

Answer:

32.5 ft

Step-by-step explanation:

Here we are given a view of a six cars roller coaster which becomes right angled triangle with a known angle of 38°, length of the perpendicular to be 20 feet and we are to find the length of the six cars.

For that, we can use the formula for sin for which we need an angle and the lengths of base and hypotenuse.

[tex]sin \alpha =\frac{perpendicular}{x}[/tex]

So putting in the given values to get:

[tex]sin 38=\frac{20}{x} [/tex]

[tex]x=\frac{20}{sin 38}[/tex]

[tex]x=32.48[/tex]

Therefore, the length of six cars is the closest to 32.5 ft.