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ad-work [718]
2 years ago
10

From a hot-air balloon, Brody measures a 39° angle of depression to a landmark

Mathematics
1 answer:
EleoNora [17]2 years ago
4 0

The balloon's vertical distance above the ground is 430 feet.

<h3>What is the angle of depression?</h3>

You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.

The angle from horizontal to the point where you stopped your head is called the angle of depression.

From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.

The angle of depression = 39°

The base = 532

We need to find the vertical distance consider perpendicular.

\rm Tan \theta = \dfrac{perpendicular}{base } \\\\\rm Tan 39 = \dfrac{perpendicular}{532} \\\\\rm Tan 39 \times 532 =perpendicular\\\\0.80 \times 532\\\\P = 430.80

Therefore, the balloon's vertical distance above the ground is 430.80 feet.

Learn more about the angle of depression here;

brainly.com/question/23931413

#SPJ1

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TRUE OR FALSE
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Pedro said, "On summer vacation, I spent 3 1/2 weeks with my uncle and two weeks more with my friend than with my uncle." How ma
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Pedro spent 9 weeks with his uncle and his friend.

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First, you need to find the amount of weeks Pedro spent with his friend. The statement indicates that he spent two weeks more with his friend than with his uncle which means that you have to add the number of weeks he spent with his uncle plus 2, which you can show in a number line:

       3\frac{1}{2}                   2

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3\frac{1}{2}+2=5\frac{1}{2}

Now, you can find the and answer by adding up the number of weeks he spent with his uncle plus the weeks he spent with his friend:

       3\frac{1}{2}                                   5\frac{1}{2}

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3\frac{1}{2} + 5\frac{1}{2}=9

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6 0
3 years ago
Find the circumference of a circle with an area of 676pi
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Answer:

The circumference of the circle is 52π

Step-by-step explanation:

To solve this exercise we first have to calculate the radius of the circle, for this we will use the formula of area of ​​a circle and we will clear the radius

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now we use the formula to calculate the circumference of a circle

c = π * 2r

c = π * 2 *  26

c = 52π

The circumference of the circle is 52π

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