A hot-air balloon is tied to the ground with two ropes, as shown below. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 50° with the ground. Determine the height of the balloon above the ground, to the nearest foot. For this open-ended question, do you want to type your answer or upload the picture of your work on the paper? *

84 ft

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp side / hypotenuse

sin 50 = y / 110  where y is the height above the ground

110 sin 50 = y

84.26488 = y

To the nearest foot

84 ft

3.37 times

Step-by-step explanation:

Probability of hitting and odd number= 3/5

Probability of hitting and odd number=2/5

Probability of hitting and odd number three times= (3/5)^3

Probability of hitting and odd number three times=(2/5)^3

Now

(3/5)^3 / (2/5)^3 = 3.37

Hence Probability of hitting an odd number three times is 3.37 times more than the probability of hitting an even number three times !