The balloon’s vertical distance above the ground is 570.3 feet
<h3>Angle of elevation and depression</h3>
Given the following parameters
The angle of depression = 36 degrees
Base distance = 785 feet
<h3>Required</h3>
vertical distance above the ground (H)
Using the SOH CAH TOA identity
tan 36 = H/785
H = 785tan36
H = 570.3 feet
Hence the balloon’s vertical distance above the ground is 570.3 feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer:
see explanation
Step-by-step explanation:
the domain ( values of x ) that a quadratic can have is all real numbers
domain : - ∞ < x < ∞
the range ( values of y ) are from the vertex upwards , that is
range : y ≥ - 2
0 or 1 or 2............................................
Probabilities are used to determine the chances of events
The value of the probability P(x < 24) is 0.7895
<h3>How to calculate the probability
P(x < 24)?</h3>
This is calculated as:

So, we have:

Evaluate the sums

Evaluate the quotient

Hence, the value of the probability P(x < 24) is 0.7895
Read more about probabilities at:
brainly.com/question/9385303
Since the argument of the sine function is x without any scaling factor, the period is 2π, the 1st selection.