The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown u
pward.
Which statements are true? Check all that apply.
The ball is at the same height as the building between 8 and 10 seconds after it is thrown.The height of the ball decreases and then increases.The ball reaches its maximum height about 4 seconds after it is thrownThe ball hits the ground between 8 and 10 seconds after it is thrown.The height of the building is 81.6 meters.
Which statements are true? Check all that apply.
The ball is at the same height as the building between 8 and 10 seconds after it is thrown.The height of the ball decreases and then increases.The ball reaches its maximum height about 4 seconds after it is thrownThe ball hits the ground between 8 and 10 seconds after it is thrown.The height of the building is 81.6 meters.
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Question:
Howard is designing a chair swing ride. The swing ropes are 4 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.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:
Substituting figures, we have:
Let's make h subject of the formula.
The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters