Advertisements
Advertisements
Question
Find the length of the support cable required to support the tower with the floor
Advertisements
Solution
From the figure, by Pythagoras theorem,
x2 = 202 + 152
= 400 + 225
= 625
x2 = 252
⇒ x = 25 feet.
∴ The length of the support cable required to support the tower with the floor is 25 feet.
APPEARS IN
RELATED QUESTIONS
If ABC is an equilateral triangle of side a, prove that its altitude = ` \frac { \sqrt { 3 } }{ 2 } a`
ABC is a right triangle right-angled at C. Let BC = a, CA = b, AB = c and let p be the length of perpendicular from C on AB, prove that
(i) cp = ab
`(ii) 1/p^2=1/a^2+1/b^2`
ABC is an equilateral triangle of side 2a. Find each of its altitudes.
In the given figure, ABC is a triangle in which ∠ABC < 90° and AD ⊥ BC. Prove that AC2 = AB2 + BC2 − 2BC.BD.
Nazima is fly fishing in a stream. The tip of her fishing rod is 1.8 m above the surface of the water and the fly at the end of the string rests on the water 3.6 m away and 2.4 m from a point directly under the tip of the rod. Assuming that her string (from the tip of her rod to the fly) is taut, ho much string does she have out (see Figure)? If she pulls in the string at the rate of 5 cm per second, what will be the horizontal distance of the fly from her after 12 seconds?
Identify, with reason, if the following is a Pythagorean triplet.
(24, 70, 74)
Find the side and perimeter of a square whose diagonal is 10 cm.
In the figure below, find the value of 'x'.
To get from point A to point B you must avoid walking through a pond. You must walk 34 m south and 41 m east. To the nearest meter, how many meters would be saved if it were possible to make a way through the pond?
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.
