Respuesta :

Answer:10.945

Step-by-step explanation:

From the above, we need to find the side "a" because that is how far the pendulum swings at 40. Using cosine rule which the below image states,we will derive the answer 10.945

Ver imagen ifesynwajesuschrist

By comparing the pendulum swing with an arc on a circle of radius R = 16 in, we will see that the distance that the tip of the pendulum travels on each swing is 22.33 inches.

How far does the tip travel?

Each swing does an angle of 40° in each direction, so we have a total angle of 80°.

Then, we want to get the length of an arc defined by an angle of 80° on a circle with a radius of 16 in, this is:

L = (80°/360°)*3.14*(2*16 in) = 22.33 in.

The distance that the tip of the pendulum travels on each swing is 22.33 inches.

If you want to learn more about arcs, you can read:

https://brainly.com/question/2005046