Advertisements
Advertisements
प्रश्न
Read the following passage and answer the questions given below.
|
Qutub Minar, located in South Delhi, India was built in the year 1193. It is 72 m high tower. Working on a school project, Charu and Daljeet visited the monument. They used trigonometry to find their distance from the tower. Observe the picture given below. Points C and D represent their positions on the ground in line with the base of tower, the angles of elevation of top of the tower (Point A) are 60° and 45° from points C and D respectively.
|
- Based on the above information, draw a well-labelled diagram.
- Find the distances CD, BC and BD. [use `sqrt(3)` = 1.73]
उत्तर
1.
2.
In ΔABC, tan 60° = `("AB")/("BC")`
⇒ `sqrt(3) = 72/("BC")`
⇒ BC = `72/sqrt(3) = 24sqrt(3)`
= 24 × 1.73
⇒ BC = 41.52 m
In ΔABD, ∠B = 90°
tan 45° = `("AB")/("BD")`
BD = AB
BD = 72 m
Now, CD = BD – BC
= 72 – 41.52
CD = 30.48 m
APPEARS IN
संबंधित प्रश्न
In Fig. 1, AB is a 6 m high pole and CD is a ladder inclined at an angle of 60° to the horizontal and reaches up to a point D of pole. If AD = 2.54 m, find the length of the ladder. (use3√=1.73)
The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 45°. If the tower is 30 m high, find the height of the building.
If a vertical pole 6m high has a shadow of length 2 √3 metres, find the angle of elevation of the sun.
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground, making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
A storm broke a tree and the tree top rested on ground 20 m away from the
base of the tree, making an angle of 60o with the ground. Find the height
of the tree.
From the top of a light house, the angles of depression of two ships on the opposite sides of it are observed to be α and β. If the height of the light house be h metres and the line joining the ships passes through the foot of the light house, show that the distance between the ship is
`(h (tan ∝+tan ß))/ (tan ∝+tan ∝)`
In the following figure, what are the angles of depression from the observing position O1 and O2of the object at A?
Two persons are a metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter post is
The angle of depression of a car, standing on the ground, from the top of a 75 m tower, is 30°. The distance of the car from the base of the tower (in metres) is
Find the positive value of m for which the distance between the points A(5, −3) and B(13, m) is 10 units.
