Howard is designing a chair swing ride. The swing ropes are 44 meters long, and in full swing, they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing.
How tall should the pole of the swing ride be?
Round your final answer to the nearest hundredth.
Round your final answer to the nearest hundredth.
In order to do this problem, we have to apply the law of sines.
sin (67°) / x = sin (90°) / 4
x = 3.68
Where does 67° come from?
If we draw a line perpendicular to the pole to the hypotenuse, we got a 90° angle. So, 180°- (90° + 23°) = 67°.
We haven’t finished yet, we need to add x to 3.5 because they ask the entire length of the pole.
3.68 m + 3.5 m = 7.18 m
*It is better to not round your answer during your calculation*
How tall should the pole of the swing ride be?
Round your final answer to the nearest hundredth.
Round your final answer to the nearest hundredth.