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zysi [14]
3 years ago
10

Kurt is flying his airplane over a campground. He spots a small fire below at an angle of depression of 32 degrees. If the horiz

ontal distance from Kurt’s plane to the fire is 3600 feet, find the approximate altitude of his plane.
Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

3293 ft to nearest tenth = side

Step-by-step explanation:

To find altitude this is the same in trigonometry as finding the side and we use calculation below in finding the hypotenuse which is same term as side for the angle of depression just to double check that height (altitude is less than slope in calculation).

sin (32) = 0.9271838546

3600/0.9271838546 = 3882.725074

= 3883 ft to nearest tenth. = slope

Then cos (32)x3882.725074 = 3292.737608

= 3293 ft to nearest tenth = side

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During the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours.The second one was
butalik [34]

Answer:

2nd debate was 3 hours long.

Step-by-step explanation:

We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.

Let us find the estimate of time spent on 2nd debate.

1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

2*2=4

Therefore, the estimated time is less 4 hours.

To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.

First of all, we will convert mixed fractions into improper fractions as:

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

1\frac{4}{5}=\frac{9}{5}

Now, we will multiply both fractions as:

\frac{5}{3}\times \frac{9}{5}

\frac{1}{3}\times \frac{9}{1}

\frac{9}{3}\Rightarrow 3

Therefore, the 2nd debate was 3 hours long.

5 0
3 years ago
Rory rode his bike a total of 7.75 miles last week. He biked the same distance each of the 5 days he rode. How many miles did Ro
exis [7]

Answer:

Rory rode 1.55 miles each day

Step-by-step explanation:

7.75 divided by 5

6 0
2 years ago
Suppose that 24 inches of wire costs 96 cents.
Alexxx [7]
At the same rate, 31 inches of wire will cost 124 cents.

3 0
2 years ago
What is the equation of the line passing through ( -5, -3 ) and perpendicular
Artist 52 [7]

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

4 0
3 years ago
This table shows the number of marbles in a bag by color. If one marble is randomly selected from the bag, what is the
ratelena [41]

Answer:

p(blue or red) = 0.52 = 52%

Step-by-step explanation:

total number of marbles = 7 + 10 + 14 + 19 = 50

number of blue marbles = 7

number of red marbles = 19

number of blue or red marbles = 7 + 19 = 26

p(blue or red) = 26/50

p(blue or red) = 0.52 = 52%

3 0
2 years ago
Read 2 more answers
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