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 kit is flying at a height of 75 metres from the ground level, attached to a string inclined at 60 to the horizontal. Find the length of the string to the nearest metre.
The angles of elevation of the top of a rock from the top and foot of a 100 m high tower are respectively 30° and 45°. Find the height of the rock.
A man on the deck of a ship, 16m above water level, observe that that angle of elevation and depression respectively of the top and bottom of a cliff are 60° and 30° . Calculate the distance of the cliff from the ship and height of the cliff.
If the height of a vertical pole is 3–√3 times the length of its shadow on the ground, then the angle of elevation of the Sun at that time is
(A) 30°
(B) 60°
(C) 45°
(D) 75°
Two ships are sailing in the sea on either side of the lighthouse. The angles of depression of two ships as observed from the top of the lighthouse are 60° and 45° respectively. If the distance between the ships is `200[(sqrt(3) + 1)/sqrt(3)]` metres, find the height of the lighthouse.
The upper part of a tree is broken by the wind and makes an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 5 m. The height of the tree is ____________.
If a man standing on a platform 3 meters above the surface of a lake observes a cloud and its reflection in the lake, then calculate the angle of elevation of the cloud.
An observer 1.5 metres tall is 20.5 metres away from a tower 22 metres high. Determine the angle of elevation of the top of the tower from the eye of the observer.
From the top of building AB, a point C is observed on the ground whose angle of depression is 60° and which is at a distance of 40 m from the base of the building. Complete the following activity to find the height of building AB.
From figure, BC = `square`, ∠ACB = `square`
In ΔACB,
tan `square = square/(BC)`
⇒ `square = square/square`
⇒ `square = square`
Hence, the height of the building AB is `square`.
The angle of elevation of the top of a 30 m high tower at a point 30 m away from the base of the tower is ______.
