Maths-
General
Easy
Question
Two poles 30m and 15 m high stand upright in a ground. If their feet are 36m apart, find the distance between their tops?
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 distance between the top of the poles is 39 m.
Two poles are given AB = 30 m and CD = 15 m
Distance between both poles BC = 36 m
First, create a line segment DE parallel to line BC
So, BE = CD = 15 m and ED = BC = 36 m
Now, AE = AB − BE =30 − 15 = 15 m
In right angled △AED,
(AD)2 = (AE)2 + (ED)2
(AC)2 = (15)2 + (36)2
(AC)2 = 1521
AC = 39 m
Final Answer:
(AD)2 = (AE)2 + (ED)2
(AC)2 = (15)2 + (36)2
(AC)2 = 1521
AC = 39 m
Final Answer:
(AD)2 = (AE)2 + (ED)2
(AC)2 = (15)2 + (36)2
(AC)2 = 1521
AC = 39 m
Final Answer:
Hence, the distance between the top of the poles is 39 m.
Related Questions to study
Maths-
How can you determine the values of h and k from the graph shown? Write the function for the parabola.
How can you determine the values of h and k from the graph shown? Write the function for the parabola.
Maths-General
Maths-
To graph the function f(x)= (x-5)2 -8, a student translates the graph of the quadratic parent function 5 units right and 8 units down. Can a student produce the graph of f(x)= 2(x+3)2 -5 by simply translating the quadratic parent function? Explain
To graph the function f(x)= (x-5)2 -8, a student translates the graph of the quadratic parent function 5 units right and 8 units down. Can a student produce the graph of f(x)= 2(x+3)2 -5 by simply translating the quadratic parent function? Explain
Maths-General
Maths-
The graph shown is a translation of the graph of f(x)=2x2. Write the function for the graph in vertex form
The graph shown is a translation of the graph of f(x)=2x2. Write the function for the graph in vertex form
Maths-General
Maths-
The diagonals of a rhombus are 12 cm and 9 cm long. Calculate the length of one side of a rhombus?
The diagonals of a rhombus are 12 cm and 9 cm long. Calculate the length of one side of a rhombus?
Maths-General
Maths-
The graph of h is the graph of g(x)= (x-2)2+6 translated 5 units left and 3 units down.
a. Describe the graph of h as a translation of the graph of f(x)= x2
b. Write the function h in vertex form.
The graph of h is the graph of g(x)= (x-2)2+6 translated 5 units left and 3 units down.
a. Describe the graph of h as a translation of the graph of f(x)= x2
b. Write the function h in vertex form.
Maths-General
Maths-
In ∆ABC, ∠ABC = 90° AD is the median to BC and CE is the median to AB. If AC = 5 cm and AD =
cm, find CE.
In ∆ABC, ∠ABC = 90° AD is the median to BC and CE is the median to AB. If AC = 5 cm and AD = cm, find CE.
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function
f(x)= x2+2
Find the vertex, axis of symmetry and sketch the graph of the function
f(x)= x2+2
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2 -5
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2 -5
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function g(x)= x2 -1
Find the vertex, axis of symmetry and sketch the graph of the function g(x)= x2 -1
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function h(x)= x2+0.5
Find the vertex, axis of symmetry and sketch the graph of the function h(x)= x2+0.5
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function.
F(x) = -2(x + 1)2 + 5
Find the vertex, axis of symmetry and sketch the graph of the function.
F(x) = -2(x + 1)2 + 5
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2-2.25
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2-2.25
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2+50
Find the vertex, axis of symmetry and sketch the graph of the function f(x)= x2+50
Maths-General
Maths-
Solve Graphically :
X+Y= -1
Y-2X=-4
Solve Graphically :
X+Y= -1
Y-2X=-4
Maths-General
Maths-
Find the vertex, axis of symmetry and sketch the graph of the function h(x)= x2+7
Find the vertex, axis of symmetry and sketch the graph of the function h(x)= x2+7
Maths-General
