Advertisements
Advertisements
प्रश्न
A ladder 25m long reaches a window of a building 20m above the ground. Determine the distance of the foot of the ladder from the building.
Advertisements
उत्तर
Let AC be the ladder and A be the position of the window.
Then, AC = 25m, AB = 20m
Using Pythagoras theorem,
AC2 = AB2 + BC2
⇒ (25m)2 = (20m)2 + BC2
⇒ BC2 = 625m2 - 400m2
BC2 = 225m2
BC2 = (15m)2
⇒ BC = 15m
Thus, the distance of the foot of the ladder from the building is 15m.
APPEARS IN
संबंधित प्रश्न
If ABC is an equilateral triangle of side a, prove that its altitude = ` \frac { \sqrt { 3 } }{ 2 } a`
ABCD is a rhombus. Prove that AB2 + BC2 + CD2 + DA2= AC2 + BD2
Sides of triangle are given below. Determine it is a right triangle or not? In case of a right triangle, write the length of its hypotenuse. 7 cm, 24 cm, 25 cm
In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AB2 = BC × BD

In equilateral Δ ABC, AD ⊥ BC and BC = x cm. Find, in terms of x, the length of AD.
Prove that `(sin θ + cosec θ)^2 + (cos θ + sec θ)^2 = 7 + tan^2 θ + cot^2 θ`.
In the right-angled ∆LMN, ∠M = 90°. If l(LM) = 12 cm and l(LN) = 20 cm, find the length of seg MN.
The sides of the triangle are given below. Find out which one is the right-angled triangle?
8, 15, 17
The sides of the triangle are given below. Find out which one is the right-angled triangle?
1.5, 1.6, 1.7
The foot of a ladder is 6m away from a wall and its top reaches a window 8m above the ground. If the ladder is shifted in such a way that its foot is 8m away from the wall to what height does its tip reach?
In ΔABC, AD is perpendicular to BC. Prove that: AB2 + CD2 = AC2 + BD2
A point OI in the interior of a rectangle ABCD is joined with each of the vertices A, B, C and D. Prove that OB2 + OD2 = OC2 + OA2
In the given figure. PQ = PS, P =R = 90°. RS = 20 cm and QR = 21 cm. Find the length of PQ correct to two decimal places.
Two trains leave a railway station at the same time. The first train travels due west and the second train due north. The first train travels at a speed of `(20 "km")/"hr"` and the second train travels at `(30 "km")/"hr"`. After 2 hours, what is the distance between them?
Find the unknown side in the following triangles
A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then find the distance by which the top of the ladder would slide upwards on the wall.
In a right-angled triangle ABC, if angle B = 90°, BC = 3 cm and AC = 5 cm, then the length of side AB is ______.
The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. Find the length of the ladder.
