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Archy [21]
2 years ago
7

A balloon attached to an atmospheric data-gathering device must be at least 1000 m high to begin recording information. Two spot

ters, Mary and Nathan, walk the same distance from the launch site at an angle of 70° to each other until they are 225 m apart. From these positions, they watch the rise of the balloon with instruments that record the angle of elevation. What angles of elevation must the instruments record in order for the balloon to be at the correct height for atmospheric data gathering?
Mathematics
1 answer:
maks197457 [2]2 years ago
6 0

The angle of elevation that the instruments have to record to be at the correct height is given as 79°

<h3>How to solve for the angle of elevation</h3>

We have 2x + 70 = 180

We have to find the value of x

2x = 110

x = 55

y/sin x = 225/sin70

This is the use of sine rule

From here we would have

y = 225(sinx/sin70)

Remember x = 55

y =  225(sin55/sin70)

y = 196.1378

tanθ = 1000/y

tan θ = 1000/196.1378

tanθ = 5.098

θ = tan⁻¹5.098

= 78.90°

Hence the conclusion is that the angle of elevation has to be 78.9 degrees for it to be at the correct height.

Read more on the angle of elevation  here:

brainly.com/question/88158

#SPJ1

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Last year the depth of the river was 4.2 feet deep. This year it dropped 25%. Find the depth of the river this year to cross it.
Novosadov [1.4K]

Answer:

The river is 3.15 feet deep.

Step-by-step explanation:

First let's recognize what we need to find: the depth of the river

We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.

y = 25% of 4.2

y = 0.25 • 4.2

y = 1.05

This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.

d = 4.2 - 1.05

d = 3.15

The river is 3.15 feet deep.

Hope this helps!

4 0
3 years ago
On a sheet of paper, you have 100 statements written down.
serg [7]

Answer:

50

Step-by-step explanation:

If the first statement its true (At most 0 of the statements are true), there are not true statements in the paper. So, the first statement its false.

Now, if the first statement its false, this mean there must be at least 1  true statement in the paper.

Now, if the second statement its true ( at most 1 of the statements are true) this implies that the third statement its true (if "at most 1" its true, then "as most 2" must be true).

If any statement (besides the first) its true, then all the statement that follows it must be true.

The first non false statement, then, must be the statement made by the person 51:  "At most 50 statements are true"

And the 49 statements that follows are true as well.

5 0
3 years ago
The graph shows the motion of two cars starting at different places on a highway. Their speeds can be compared by comparing the
Mars2501 [29]

Answer:the dot goes in in the blue line in 0 and 150 just like the blue line

Step-by-step explanation:I hope you get what I mean

8 0
3 years ago
Find the exact circumference of a circle with the given radius.
kozerog [31]
We know, Circumference = 2π * x/2 = <span>π x

In short, Your Answer would  be: Option B

Hope this helps!</span>
8 0
3 years ago
Read 2 more answers
If there are 5,280 feet in a mile, how many feet are in 2.6 miles?
Katen [24]
The correct answer is 13,728 

Hope this helps!
8 0
3 years ago
Read 2 more answers
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