Advertisements
Advertisements
प्रश्न
A ladder 15 m long makes an angle of 60° with the wall. Find the height of the point where the ladder touches the wall.
उत्तर
AC = 15 m is the ladder. Let AB = h be the height.
\[In \bigtriangleup ABC, \]
\[\sin60^o = \frac{AB}{AC} = \frac{h}{15}\]
\[ \Rightarrow \frac{\sqrt{3}}{2} = \frac{h}{15}\]
\[ \Rightarrow h = \frac{15\sqrt{3}}{2}\]
APPEARS IN
संबंधित प्रश्न
A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is:
(A) `4/sqrt3`
(B) `4sqrt3`
(C) `2sqrt2`
(D)4
A 21 m deep well with diameter 6 m is dug and the earth from digging is evenly spread to form a platform 27 m ✕ 11 m. Find the height of the platform.[Use `pi=22/7`]
The length of a string between a kite and a point on the ground is 90 meters. If the string makes an angle O with the ground level such that tan O = 15/8, how high is the kite? Assume that there is no slack in the string.
The vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height 6m. At a point on the plane, the angle of elevation of the bottom of the flagstaff is
30 and that of the top of the flagstaff 60 . Find the height of the tower
[Use `sqrt(3)` 1.732 ]
While landing at an airport, a pilot made an angle of depression of 20°. Average speed of the plane was 200 km/hr. The plane reached the ground after 54 seconds. Find the height at which the plane was when it started landing. (sin 20° = 0.342)
The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α. After walking a distance d towards the foot of the tower the angle of elevation is found to be β. The height of the tower is
Two poles are 25 m and 15 m high, and the line joining their tops makes an angle of 45° with the horizontal. The distance between these poles is ______.
A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height h. At a point on the plane, the angles of elevation of the bottom and the top of the flagstaff are α and β, respectively. Then the height of the tower is ____________.
The top of a banquet hall has an angle of elevation of 45° from the foot of a transmission tower and the angle of elevation of the topmost point of the tower from the foot of the banquet hall is 60°. If the tower is 60 m high, find the height of the banquet hall in decimals.
From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 30°. Determine the height of the tower.