An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 feet, what is the distance (x) from the plane (P) to the observer (O)?
A right triangle is shown with angle O marked 42 degrees, hypotenuse marked x, and height marked 15,000 feet.
10,035 feet
16,648 feet
20,188 feet
22,417 feet
Answers
Answer:
22,417
Step-by-step explanation:
Just took the test.
Pythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane. The distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
Given information-The observer angle to the plane is 42 degrees.
The height of the plane is 15000 feet.
As angle O is 42 degree and the height is 15000. Let suppose the base is y feet long. Thus angle O can be given as,
[tex]\begin{aligned} \tan42^o&=\dfrac{15000}{y} \\ y&=\dfrac{15000}{\tan42^o} \\ y&=16660\\ \end[/tex]
Thus the base of the right triangle is 16660 feet.
Pythagoras theoremPythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane.
For the given problem the the hypotenuse side is x feet.
[tex]\begin{aligned}\\ x^2&=15000^2+16660^2\\ x&=22417.75\\ \end[/tex]
Thus the distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
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Answer:
5
Step-by-step explanation:
Answer:
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Step-by-step explanation:
$45/8 hours is $5.63 per hour
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Do the ratios 4/12 and 10/30 form a proportion? yes or no
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Answer:
Yes because you can multiply the numerator and denominator by 2.5 to get 10/30 so it is proportional
Step-by-step explanation:
Answer:
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I took the same khan Academy Quiz
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Answer:
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Step-by-step explanation:
3.14 x 20 = 62.8
Its about 62.83
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Answer:
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Step-by-step explanation:
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Ava pours 3 gallons of paint equally into 5 cans. How many gallons of paint will there be in each can?
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Answer:
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Step-by-step explanation:
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Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 per job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
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Answer:
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Step-by-step explanation:
I just took the test
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Answers
Answer:
Mean = 3.5
Median = 3.5
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Step-by-step explanation:
Hope that helps!
Mean: To find the mean, simply add the numbers together and divide by the amount of numbers in the set:
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Answers
Answer:
width = 3
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Step-by-step explanation:
Ok so you can form a system of equations where w is the width and l is the length:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Answer:
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Guys please help
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
Length of tape required to wrap 12 presents is 48 centimeters.
Step-by-step explanation:
Length of tape required to wrap 7 presents = 28 centimeters
Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters
Therefore,
Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present
= 12 × 4
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Answers
Answer:
6000
Step-by-step explanation:
Answer:x+y = 6,000
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Step-by-step explanation: did it on edge
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Answer:
Rs 19 1/8
Step-by-step explanation:
Fromm the above question, we are told that:
The cost of 2/3 meters of rope = Rs 12 3/4
We are asked to calculate the cost per meter of rope.
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2/3 meters of rope = Rs 12 3/4
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2/3x = 1 × 12 3/4
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Therefore, the Cost per meter of rope = Rs 19 1/8
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Answers
Answer: 100
Step-by-step explanation:2*5 =10 then 10*10 is 100
Answer:
100
Step-by-step explanation:
so, here is how to work this problem out
2*5 = 10
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A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.
Answers
Answer:
329.91 cm^2
Step-by-step explanation:
A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.
Your answer
Given data
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area= πr^2
area= 3.142*8^2
area= 3.142*16
area= 50.272 cm^2
outer radius= 11cm
area= πr^2
area= 3.142*11^2
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area= 380.182 cm^2
Hence the area of the shaded part is
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The ratio of boys to girls at Longwood High School is 6:7. There are 1,722 girls in the High School. Write and solve a proportion that could be used to find out how many boys are in the High School. All algebraic steps must be shown for full credit. and steps algebraically.
Answers
Answer:
1476 boys
Step-by-step explanation:
We are going to use ratio here:
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Answers
Answer:
3/10
Step-by-step explanation:
HELP PLEASE !! URGENT !!
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Steve studies math for 7/8 of an hour and history for 2/3 of an hour. How many hours did he study?
Answers
Answer:
The answer is 1 13/24 hours or 1 hour, 32.5 minutes
Step-by-step explanation:
Find a common multiple of the denominators 3 and 8, which would be 24. Convert the fractions:
7/8 x 3/3 = 21/24.
2/3 x 8/8 = 16/24
Add the two numerators = 37/24 or 1 13/24.
1/24 of an hour is 2.5 minutes, so 13/24 is 32.5 minutes.
The answer is 1 13/24 hours or 1 hour, 32.5 minutes
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Answers
Answer: The answer is -17
Step-by-step explanation:
Brainlist Plz?
