Advertisements
Advertisements
Question
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.
Advertisements
Solution
Given, height of a pole is 8 m.
Distance between the bottom of the pole and a point on the ground is 6 m.
On the basis of given information, we can draw the following figure:
Let the length of the rope be x m
∵ AB = Height of the pole
BC = Distance between the bottom of the pole and a point on the ground, where the rope was tied .
To find the length of the rope, we will use Pythagoras theorem, in right-angled ΔABC
∴ (AC)2 = (AB)2 + (BC)2
⇒ (x)2 = (8)2 + (6)2
⇒ x2 = 64 + 36
⇒ x2 = 100
⇒ x = `sqrt(100)` = 10 m
Hence, the length of the rope is 10 m.
APPEARS IN
RELATED QUESTIONS
A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.
Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.
Prove that, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the square of remaining two sides.
In the given figure, angle BAC = 90°, AC = 400 m, and AB = 300 m. Find the length of BC.
In triangle PQR, angle Q = 90°, find: PR, if PQ = 8 cm and QR = 6 cm
The sides of the triangle are given below. Find out which one is the right-angled triangle?
8, 15, 17
Find the length of the hypotenuse of a triangle whose other two sides are 24cm and 7cm.
In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AC2 = AD2 + BC x DE + `(1)/(4)"BC"^2`
In a right angled triangle, the hypotenuse is the greatest side
In a right-angled triangle ABC, if angle B = 90°, then which of the following is true?
