Question

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 1.5 meters, 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 1.5 meters. What is the maximum length of the seesaw? 3.0 meters 3.5 meters 4.0 meters 4.5 meters

Answer 1

Final Answer :
$\boxed {3 \: m}$

Applications of Trigonometry :
1) We have, see saw, which is at an angle 30° from the ground when it is rised up-to it's maximum value in air.
At that point, AB = hmax = 1.5 m

2) By Trigonometry,
we get
sin(30°) = AB/AC
=> 1/2 = 1.5/AC
=> AC = 3 m

Hence, Length of see - saw is 3 m.