Question:
A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.
A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.
Updated On: Dec 11, 2023
Hide Solution
Verified By Collegedunia
Solution and Explanation
By applying Pythagoras theorem,
\((15)^2= (12)^2 + a^2\)
\(225 = 144 + a^2\)
\(a^2 =225 - 144 = 81\)
\(a = 9\;m\)
Therefore, the distance of the foot of the ladder from the wall is \(9\) \(m\).
Was this answer helpful?
0
0
Top Questions on Right-Angled Triangles And Pythagoras Property
- A ladder 25 feet long is leaning against a wall such that it touches 24 feet high window. How far is the foot of the ladder from the wall?
- CUET (UG) - 2023
- Mathematics
- Right-Angled Triangles And Pythagoras Property
- In the below figure \(△PQR~△ABC\), then \(z+y=\) _____ .
- TS POLYCET - 2022
- Mathematics
- Right-Angled Triangles And Pythagoras Property
- The angle of elevation of the top of a tower, whose height is 100 m, at a point whose distance from the base of the tower is 100 m is
- TS POLYCET - 2021
- Mathematics
- Right-Angled Triangles And Pythagoras Property
- The tops of two poles are of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is
- TS POLYCET - 2021
- Mathematics
- Right-Angled Triangles And Pythagoras Property
- To find out the slant height of a cone, we use ______ Theorem.
- TS POLYCET - 2020
- Mathematics
- Right-Angled Triangles And Pythagoras Property
View More Questions
Questions Asked in CBSE Class VII exam
- A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?
- CBSE Class VII
- Division Of Decimal Numbers
- Find:
(i) 2.5 × 0.3
(ii) 0.1 × 51.7
(iii) 0.2 × 316.8
(iv) 1.3 × 3.1
(v) 0.5 × 0.05
(vi) 11.2 × 0.15
(vii) 1.07 × 0.02
(viii) 10.05 × 1.05
(ix) 101.01 × 0.01
(x) 100.01 × 1.1- CBSE Class VII
- Multiplication Of Decimal Numbers
- Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed 2 / 5 of the water. Pratap consumed the remaining water.
(i) How much water did Vidya drink?
(ii) What fraction of the total quantity of water did Pratap drink?- CBSE Class VII
- Multiplication Of Fractions
- Find:
(i) 7 ÷ 3.5
(ii) 36 ÷ 0.2
(iii) 3.25 ÷ 0.5
(iv) 30.94 ÷ 0.7
(v) 0.5 ÷ 0.25
(vi) 7.75 ÷ 0.25
(vii) 76.5 ÷ 0.15
(viii) 37.8 ÷ 1.4
(ix) 2.73 ÷ 1.3- CBSE Class VII
- Division Of Decimal Numbers
Write equations for the following statements:
(i) The sum of numbers x and 4 is 9.
(ii) 2 subtracted from y is 8.
(iii) Ten times a is 70.
(iv) The number b divided by 5 gives 6.
(v) Three-fourth of t is 15.
(vi) Seven times m plus 7 gets you 77.
(vii) One-fourth of a number x minus 4 gives 4.
(viii) If you take away 6 from 6 times y, you get 60.
(ix) If you add 3 to one-third of z, you get 30- CBSE Class VII
- A Mind-Reading Game
View More Questions