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 2 meters, as shown below: A see-saw is shown with one end on the ground and the other in the air. The see-saw makes an angle of 30 degrees with the groun What is the maximum length of the seesaw? (6 points)

The maximum length of the seesaw is 4 meters

Step-by-step explanation:

Since the seesaw should rise a maximum height of 2 meters and make an angle of 30° with the ground, this situation represents a right-angled triangle with the hypotenuse side the length of the seesaw and the opposite side the maximum height of the seesaw.

Let the length of the seesaw = L, the opposite side = maximum height of the seesaw = 2 m and the angle = 30°.

So by trigonometric ratios,

Sin Ф = opposite/hypotenuse ⇒ Sin30° = 2/L

L = 2/Sin30°

= 2 ÷ 1/2

= 2 × 2 m

= 4 m

So the maximum length of the seesaw is 4 meters.