Question
A hospital helicopter must go pick up a patient that is six miles west and eight miles north of the hospital. How many miles totals will the helicopter travel to pick up the patient and bring him back to the hospital?
Hint:
Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given as
c2= a2 + b2
The correct answer is: the helicopter will travel 20 miles to pick up the patient and bring him back to the hospital.
Here, Length of perpendicular(a) = 8 miles
Length of base(b) = 6 miles
Let’s say that the distance travelled by helicopter is d and here that distance is the hypotenuse of the right-angled triangle.
Using Pythagoras theorem
d2 = a2 + b2
d2 = 82 + 62
d2 = 100
d = 10 miles
Distance travelled by helicopter to pick up the patient and bring him back to the hospital = 20 miles
Final Answer:
Hence, the helicopter will travel 20 miles to pick up the patient and bring him back to the hospital.
Distance travelled by helicopter to pick up the patient and bring him back to the hospital = 20 miles
Final Answer:
Hence, the helicopter will travel 20 miles to pick up the patient and bring him back to the hospital.
Related Questions to study
Choose the use of simple Present Tense
1) A habitual action 2) A general Truth
2)A future event that is already known or planned as 3) In a negative question with why to make a
suggestion.
Choose the use of simple Present Tense
1) A habitual action 2) A general Truth
2)A future event that is already known or planned as 3) In a negative question with why to make a
suggestion.
Choose the synonym for 'single’
Choose the synonym for 'single’
The height of a shed is 6m. A ladder leans against the shed with its base 4.5 m away, and its top just reaching the roof. What is the length of the ladder?
The height of a shed is 6m. A ladder leans against the shed with its base 4.5 m away, and its top just reaching the roof. What is the length of the ladder?
Can the sides of a right angle 5,15 and 
. Explain
Can the sides of a right angle 5,15 and . Explain
Choose the correct collective noun in the following sentence.
"The old man asked his sons to bring him a of sticks"
Choose the correct collective noun in the following sentence.
"The old man asked his sons to bring him a of sticks"
A right triangle has leg lengths of 4 inches and 5 inches. What is the length of the hypotenuse side? Write the answer as a square root and round to the nearest tenth of an inch.
A right triangle has leg lengths of 4 inches and 5 inches. What is the length of the hypotenuse side? Write the answer as a square root and round to the nearest tenth of an inch.
Identify the common noun in the following sentence.
Rubina is a beautiful girl
Identify the common noun in the following sentence.
Rubina is a beautiful girl
How many syllables are there in the word 'Umbrella'
How many syllables are there in the word 'Umbrella'
A ladder 20 m long rests against a vertical wall. If the foot of the ladder is 12 m away from the base of the wall, the height of the point on the wall where the top of the ladder reaches is ……..
A ladder 20 m long rests against a vertical wall. If the foot of the ladder is 12 m away from the base of the wall, the height of the point on the wall where the top of the ladder reaches is ……..
Choose the correct synonym, for ‘against’
Choose the correct synonym, for ‘against’
In a computer catalogue, a computer monitor is listed as being 27 cm. This distance is the diagonal distance across the screen. If the screen measures 15 cm in height, what is the actual width of the screen to the nearest inch?
In a computer catalogue, a computer monitor is listed as being 27 cm. This distance is the diagonal distance across the screen. If the screen measures 15 cm in height, what is the actual width of the screen to the nearest inch?
Read the sentence and choose the verb that best completes the sentences.
The teachers the papers.
Read the sentence and choose the verb that best completes the sentences.
The teachers the papers.
Which of the following Compound inequalities have the solution x < 3, select all that apply.
You can also follow these steps to solve the compound inequality with the equation for example: 3x + 5 < 6:
Subtract 5 from both sides.
3x + 5 - 5 < 6 - 5
Simplify and subtract the numbers.
And we get, 3 x < 1
Divide both sides by the same factor.
3x/3 < 1/3
Cancel terms that are in both the numerator and denominator.
and the solution is x < 1/3.
Which of the following Compound inequalities have the solution x < 3, select all that apply.
You can also follow these steps to solve the compound inequality with the equation for example: 3x + 5 < 6:
Subtract 5 from both sides.
3x + 5 - 5 < 6 - 5
Simplify and subtract the numbers.
And we get, 3 x < 1
Divide both sides by the same factor.
3x/3 < 1/3
Cancel terms that are in both the numerator and denominator.
and the solution is x < 1/3.
If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow?
If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow?
Lucy plans to spend between $50 and $ 65, inclusive on packages of charms. If she buy 5 packages of beads at $4.95 each, how many packages of charms at $6.55 can lucy buy while staying within her budget?
When two simple inequalities are combined, the result is a compound inequality. For example, a sentence with two inequality statements connected by the words "or" or "and" is a compound inequality. The conjunction "and" denotes the simultaneous truth of both statements in the compound sentence. So it is when the solution sets for the various statements cross over or intersect. E.g., for "AND": Solve the statement where x: 3 x + 2 < 14 and 2 x – 5 > –11. The solution set is
{ x| x > –3 and x < 4}. All the numbers present to the left of 4 are denoted by x < 4, and the numbers to the right of -3 are represented by x > -3. The intersection of these two graphs is comprised of all integers between -3 and 4.
Lucy plans to spend between $50 and $ 65, inclusive on packages of charms. If she buy 5 packages of beads at $4.95 each, how many packages of charms at $6.55 can lucy buy while staying within her budget?
When two simple inequalities are combined, the result is a compound inequality. For example, a sentence with two inequality statements connected by the words "or" or "and" is a compound inequality. The conjunction "and" denotes the simultaneous truth of both statements in the compound sentence. So it is when the solution sets for the various statements cross over or intersect. E.g., for "AND": Solve the statement where x: 3 x + 2 < 14 and 2 x – 5 > –11. The solution set is
{ x| x > –3 and x < 4}. All the numbers present to the left of 4 are denoted by x < 4, and the numbers to the right of -3 are represented by x > -3. The intersection of these two graphs is comprised of all integers between -3 and 4.
