Advertisements
Advertisements
प्रश्न
Two poles of height 9m and 14m stand on a plane ground. If the distance between their 12m, find the distance between their tops.
Advertisements
उत्तर
Let AB and CD be the two poles of height 14m and 9m respectively.
It is given that BD = 12m
∴ CE = 12m
Now,
AE = AB - BE
= 14m - 9m = 5m
Using Pythagoras theorem in ΔACE,
AC2 = AE2 + CE2
= (5m)2 + (12m)2
= 25m2 = 144m2
= 169m2
= 13m2
⇒ AC = 13m
Thus, the distance between the tops of the poles is 13m.
APPEARS IN
संबंधित प्रश्न
A ladder leaning against a wall makes an angle of 60° with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder
A man goes 10 m due east and then 24 m due north. Find the distance from the starting point
In a right triangle ABC right-angled at C, P and Q are the points on the sides CA and CB respectively, which divide these sides in the ratio 2 : 1. Prove that
`(i) 9 AQ^2 = 9 AC^2 + 4 BC^2`
`(ii) 9 BP^2 = 9 BC^2 + 4 AC^2`
`(iii) 9 (AQ^2 + BP^2 ) = 13 AB^2`
ABC is an isosceles triangle with AC = BC. If AB2 = 2AC2, prove that ABC is a right triangle.
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.
In equilateral Δ ABC, AD ⊥ BC and BC = x cm. Find, in terms of x, the length of AD.
In the following figure, OP, OQ, and OR are drawn perpendiculars to the sides BC, CA and AB respectively of triangle ABC.
Prove that: AR2 + BP2 + CQ2 = AQ2 + CP2 + BR2
In a rectangle ABCD,
prove that: AC2 + BD2 = AB2 + BC2 + CD2 + DA2.
Find the side of the square whose diagonal is `16sqrt(2)` cm.
Prove that (1 + cot A - cosec A ) (1 + tan A + sec A) = 2
The top of a ladder of length 15 m reaches a window 9 m above the ground. What is the distance between the base of the wall and that of the ladder?
Find the Pythagorean triplet from among the following set of numbers.
4, 7, 8
PQR is an isosceles triangle with PQ = PR = 10 cm and QR = 12 cm. Find the length of the perpendicular from P to QR.
Find the distance between the helicopter and the ship
If length of sides of a triangle are a, b, c and a2 + b2 = c2, then which type of triangle it is?
In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:
(i) `"AC"^2 = "AD"^2 + "BC"."DM" + (("BC")/2)^2`
(ii) `"AB"^2 = "AD"^2 - "BC"."DM" + (("BC")/2)^2`
(iii) `"AC"^2 + "AB"^2 = 2"AD"^2 + 1/2"BC"^2`
The top of a broken tree touches the ground at a distance of 12 m from its base. If the tree is broken at a height of 5 m from the ground then the actual height of the tree is ______.
In a right-angled triangle ABC, if angle B = 90°, then which of the following is true?
Height of a pole is 8 m. Find the length of rope tied with its top from a point on the ground at a distance of 6 m from its bottom.
