Maths-
General
Easy
Question
A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the house, how tall is the ladder? Please draw a diagram and show all work.
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: Hence, the length of ladder is 10.44 m.
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)
Here, Length of perpendicular(h) = Length of house = 10 m
Length of base(b) = 3 m
Let’s say that the length of ladder is d.
Using Pythagoras theorem
d2 = h2 + b2
d2 = 102 + 32
d2 = 109
d2 = 109![d equals square root of 109 equals 10.44 straight m](data:image/png;base64,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)
Final Answer:
Hence, the length of ladder is 10.44 m.
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Maths-
Identify domain and range of the given relation. Is it a function?
![](data:image/png;base64,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)
Identify domain and range of the given relation. Is it a function?
![](data:image/png;base64,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)
Maths-General
Maths-
ABC is a right-angled triangle with AB=8cm and BC= 6 cm. A circle with centre O has been inscribed inside the triangle. Calculate the value of r the radius of the inscribed circle.
ABC is a right-angled triangle with AB=8cm and BC= 6 cm. A circle with centre O has been inscribed inside the triangle. Calculate the value of r the radius of the inscribed circle.
Maths-General
Maths-
A ladder is 45m long. Its foot is standing on a horizontal path, its top is resting against a vertical wall. The foot of the ladder is 2.5 m from the base of the wall. How far up the wall is the top of the ladder?
A ladder is 45m long. Its foot is standing on a horizontal path, its top is resting against a vertical wall. The foot of the ladder is 2.5 m from the base of the wall. How far up the wall is the top of the ladder?
Maths-General
Maths-
Identify domain and range of the given relation. Is it a function?
![](data:image/png;base64,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)
Identify domain and range of the given relation. Is it a function?
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Maths-General
Maths-
Identify domain and range of the given relation. Is it a function?
{(4,1), (2,3), (0,4), (5,3)}
Identify domain and range of the given relation. Is it a function?
{(4,1), (2,3), (0,4), (5,3)}
Maths-General
Maths-
In triangle PQR, RT= 9 cm, PT=16 cm, altitude QT=12 cm, Prove that ∠PQR=90o.
In triangle PQR, RT= 9 cm, PT=16 cm, altitude QT=12 cm, Prove that ∠PQR=90o.
Maths-General
Maths-
If the domain of a relation is the set of whole numbers between 2.5 and 7.5, and the range contains 6 different values. Is the relation a function? Explain.
If the domain of a relation is the set of whole numbers between 2.5 and 7.5, and the range contains 6 different values. Is the relation a function? Explain.
Maths-General
Maths-
In an Isosceles triangle ABC , AB = AC= 25 cm, BC = 14 cm. Calculate the altitude from A on BC?
In an Isosceles triangle ABC , AB = AC= 25 cm, BC = 14 cm. Calculate the altitude from A on BC?
Maths-General
Maths-
If one x-value maps to many y-values, does the relation represent a function? If the x and y values are reversed, does the relation represent a function?
If one x-value maps to many y-values, does the relation represent a function? If the x and y values are reversed, does the relation represent a function?
Maths-General