Advertisements
Advertisements
प्रश्न
A building and a statue are in opposite side of a street from each other 35 m apart. From a point on the roof of building the angle of elevation of the top of statue is 24° and the angle of depression of base of the statue is 34°. Find the height of the statue. (tan 24° = 0.4452, tan 34° = 0.6745)
उत्तर
Let the height of the statue be h m
Let AD be x
∴ EC = h – x
In the right ∆ABD,
tan 34° = `"AD"/"AB"`
0.6745 = `x/35`
∴ x = 0.6745 × 35
⇒ x = 23.61 m
In the right ∆DEC
⇒ tan 24° = `"EC"/"DE"`
0.4452 = `("h" - x)/35`
⇒ h – x = 0.4452 × 35
h – 23.61 = 15.58
⇒ h = 15.58 + 23.61
= 39.19 m
Height of the statue = 39.19 m
APPEARS IN
संबंधित प्रश्न
The heights of two poles are 80 m and 62.5 m. If the line joining their tops makes an angle of 45º with the horizontal, then find the distance between the pole
A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30° to the ground, where as for the elder children, she wants to have a steep side at a height of 3 m, and inclined at an angle of 60° to the ground. What should be the length of the slide in each case?
The angle of elevation of the top of a vertical tower from a point on the ground is 60° . From another point 10 m vertically above the first, its angle of elevation is 30° .Find the height of the tower.
AB is a pole of height 6 m standing at a point B and CD is a ladder inclined at angle of 600 to the horizontal and reaches upto a point D of pole . If AD = 2.54 m , find the length of the ladder.
A ladder makes an angle of 60º 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 man in a boat rowing away from a lighthouse 100 m high takes 2 minutes to change the angle of elevation of the top of the lighthouse from 60° to 30°.
Find the speed of the boat in metres per minute. [Use `sqrt(3` = 1.732]Use 3=1.732">
The line drawn from the eye of an observer to the point in the object viewed by the observer is known as ____________.
If the height of a tower and the distance of the point of observation from its foot, both, are increased by 10%, then the angle of elevation of its top ____________.
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.
The angle of elevation of the top of a vertical tower from a point A, due east of it is 45°. The angle of elevation of the top of the same tower from a point B, due south of A is 30°. If the distance between A and B is `54sqrt(2)` m, then the height of the tower (in metres), is ______.
