A large weather balloon is tethered by two ropes. One rope measures 23 ft and attaches to the balloon at an angle of 32 ° from the ground. The second rope attaches to the base of the balloon at an angle of 15 ° with the ground. a. How far from the ground is the balloon floating? Round to the nearest tenth of a foot. b. Find the length of the second rope. Round to the nearest tenth of a foot c. If both ropes suddenly detach and the balloon rises straight up at a rate of 3 ft/ sec , how long will it take the balloon to reach a height of 50 ft from the ground? Round to the nearest tenth of a second.
A large weather balloon is tethered by two ropes. One rope measures 23 ft and attaches to the balloon at an angle of 32 ° from the ground. The second rope attaches to the base of the balloon at an angle of 15 ° with the ground. a. How far from the ground is the balloon floating? Round to the nearest tenth of a foot. b. Find the length of the second rope. Round to the nearest tenth of a foot c. If both ropes suddenly detach and the balloon rises straight up at a rate of 3 ft/ sec , how long will it take the balloon to reach a height of 50 ft from the ground? Round to the nearest tenth of a second.
Solution Summary: The author calculates how far from the ground a floating balloon is tethered by two ropes. One rope measures 23ft and attaches to the balloon at an angle of 32
A large weather balloon is tethered by two ropes. One rope measures
23
ft
and attaches to the balloon at an angle of
32
°
from the ground. The second rope attaches to the base of the balloon at an angle of
15
°
with the ground.
a. How far from the ground is the balloon floating? Round to the nearest tenth of a foot.
b. Find the length of the second rope. Round to the nearest tenth of a foot
c. If both ropes suddenly detach and the balloon rises straight up at a rate of
3
ft/
sec
, how long will it take the balloon to reach a height of
50
ft
from the ground? Round to the nearest tenth of a second.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.