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goblinko [34]
2 years ago
9

From a hot-air balloon, Ian measures a 30^{\circ}

Mathematics
1 answer:
natka813 [3]2 years ago
5 0

The balloon’s vertical distance above the ground is 721.7 f

<h3>Angle of elevation and depression</h3>

In order to determine the balloon's vertical distance, we will use the SOH CAH TOA identity

Given the following parameters

Angle of depression = 30 degrees

Horizontal distance =1250 feet

Required

vertical distance H

Using the SOH CAH TOA identity

tan 30 = H/1250

H = 1250tan30
H = 721.7 feet

Hence the balloon’s vertical distance above the ground is 721.7 feet

Learn more on angle of elevation and depression here: brainly.com/question/2096694

#SPJ1

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The slope of the line below is -1/7.
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Answer:

y = (-1/7)x + (24/7)

Step-by-step explanation:

The general structure of a line in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You have been given the value of the slope (m = -1/7). You have also been given values for "x" and "y" from the point (3,3). Therefore, you can substitute these values in for their variables and simplify to find the value of the y-intercept.

y = mx + b                                    <----- Slope-intercept form

y = (-1/7)x + b                                <----- Plug -1/7 into "m"

3 = (-1/7)(3) + b                             <----- Plug in "x" and "y" values from point (3,3)

3 = -3/7 + b                                  <----- Multiply -1/7 and 3

24/7 = b                                      <----- Add 3/7 to both sides

Now that you know that m = -1/7 and b = 24/7, you can determine the formula satisfying the given information.

y = (-1/7)x + (24/7)

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