Question

Howard is designing a chair swing ride. The swing ropes are 5 55 meters long, and in full swing they tilt in an angle of 2 9 ∘ 29 ∘ 29, degrees. Howard wants the chairs to be 2.75 2.752, point, 75 meters above the ground in full swing.

Answer 1

Question (Corrected):

Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees. Howard wants the chairs to be 2.75 meters above the ground in full swing. How tall should the pole be? Round your answer, if necessary, to 2 decimal places. (* See attached for diagram)

Given:

The rope is 5 m long.

The angle is tilted at 29° when the distance from the ground is 2.75 m

To Find:

The height of the pole

Solution:

* Refer to the second attached for additional notes for calculation.

Find the length of the pole from the top to the swing (Denoted by x in the attachment):

Let the distance be H

$\cos \theta = \dfrac{\text{Adjacent}}{\text{Hypotenuse}}$

$\cos (29) = \dfrac{\text{H}}{\text{5}}$

$H = 5 \cos(29)$

$H = 4.37 \text{ m}$

Find the height of the pole:

Height of the pole = 2.75 + 4.37

Height of the pole = 7.12 m

Answer: The height of the pole is 7.12 m

Answer 2

Answer:

7.12 meters tall

Step-by-step explanation:

easy