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Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below:

A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter.

What is the maximum length of the seesaw?

Respuesta :

Using the slope concept, it is found that the maximum length of the seesaw is of 1.73 meters.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

  • The vertical change is of 1 m.
  • The horizontal change is the length l.
  • The angle is of 30º.

Hence:

tan(30º) = 1/l

l = 1/tan(30º)

l = 1.73.

More can be learned about the slope concept at https://brainly.com/question/18090623

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