Maths-
General
Easy

Question

You place a 24-foot ladder 10 feet away from the house. The top of the ladder just reaches a window on the second floor. How high off the ground is the window?

hintHint:

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 height of the window above the ground is 21.8 ft


    Here, Length of base(b) = 10 ft
    length of hypotenuse(d) = length of ladder = 24 ft
    Let’s say that the height of the window on the second floor is a
    Using Pythagoras theorem

    d2 = a2 + b2

    242 = a2 + 102

    a2 = 576 - 100

    a = square root of 476 m almost equal to 21.8 ft
    Final Answer:
    Hence, the height of the window above the ground is 21.8 ft

    Related Questions to study

    General
    Maths-

    The Johanssens own an ice-cream shop near the beach. The scatter plots show their sales by daily high temperature to the number of beach goers by daily high temperature. Describe the associations shown.

    The Johanssens own an ice-cream shop near the beach. The scatter plots show their sales by daily high temperature to the number of beach goers by daily high temperature. Describe the associations shown.

    Maths-General
    General
    General

    Choose the use of past simple Tense
    1) The simple past tells us about the past, a time which is finished
    2) Tells us a time in the past when we were middle of an action

    Choose the use of past simple Tense
    1) The simple past tells us about the past, a time which is finished
    2) Tells us a time in the past when we were middle of an action

    GeneralGeneral
    General
    Maths-

    Leonard walks 14 meters south and 48 meters east to get to school. If he takes the straight path home after school, how far will he have to walk?

    Leonard walks 14 meters south and 48 meters east to get to school. If he takes the straight path home after school, how far will he have to walk?

    Maths-General
    parallel
    General
    General

    Identify preposition in the following sentence
    "We walked round the lake"

    Identify preposition in the following sentence
    "We walked round the lake"

    GeneralGeneral
    General
    Maths-

    Televisions are advertised by the length of their diagonals. If a 42-inch television measures 18 inches high, how wide is the television?

    Televisions are advertised by the length of their diagonals. If a 42-inch television measures 18 inches high, how wide is the television?

    Maths-General
    General
    Maths-

    Georgia and her classmates also measured their foot length. Use a pencil to find the trend line .Sketch the trend line for the scatter plot .

    Georgia and her classmates also measured their foot length. Use a pencil to find the trend line .Sketch the trend line for the scatter plot .

    Maths-General
    parallel
    General
    Maths-

    You’re locked out of your house, and the only open window is on the second floor 25 feet above the ground. There are bushes along the side of the house that force you to put the base of the ladder 7 feet away from the base of the house. How long of a ladder will you need to reach the window?

    You’re locked out of your house, and the only open window is on the second floor 25 feet above the ground. There are bushes along the side of the house that force you to put the base of the ladder 7 feet away from the base of the house. How long of a ladder will you need to reach the window?

    Maths-General
    General
    Maths-

    Georgia and her classmates are measuring their height and arm span. They record their data in the table.
    How can they determine what relationship , if any exists between the two sets of measurements.

    The scatter plot will be enough to show the relation. The line graph would help us the study the data in depth.

    Georgia and her classmates are measuring their height and arm span. They record their data in the table.
    How can they determine what relationship , if any exists between the two sets of measurements.

    Maths-General

    The scatter plot will be enough to show the relation. The line graph would help us the study the data in depth.

    General
    Maths-

    She takes off from her house and runs 3 miles north and 4 miles west. Tired, she wants to take the shortest route back. How much farther will she have to run if she heads straight back to her house?

    She takes off from her house and runs 3 miles north and 4 miles west. Tired, she wants to take the shortest route back. How much farther will she have to run if she heads straight back to her house?

    Maths-General
    parallel
    General
    General

    Select the three most common text features.

    Select the three most common text features.

    GeneralGeneral
    General
    Maths-

    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?

    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?

    Maths-General
    General
    General

    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.

    GeneralGeneral
    parallel
    General
    General

    Choose the synonym for 'single’

    Choose the synonym for 'single’

    GeneralGeneral
    General
    Maths-

    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?

    Maths-General
    General
    Maths-

    Can the sides of a right angle 5,15 and square root of 250. Explain

    Can the sides of a right angle 5,15 and square root of 250. Explain

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.