हिंदी

A ladder is placed along a wall such that its upper end is resting against a vertical wall. The foot of the ladder is 2.4 m from the wall and the ladder is making an angle of 68° with the ground. - Mathematics

Advertisements
Advertisements

प्रश्न

A ladder is placed along a wall such that its upper end is resting against a vertical wall. The foot of the ladder is 2.4 m from the wall and the ladder is making an angle of 68° with the ground. Find the height, upto which the ladder reaches.

योग

उत्तर


Let the height upto which the ladder reaches be h m.

Given that angle of elevation is 68°

`tan 68^circ = h/2.4`

`=> 2.475 = h/2.4 `

∴ h = 2.475 × 2.4 = 5.94 m

So, the ladder reaches upto a height of 5.94 m

shaalaa.com
Heights and Distances - Solving 2-D Problems Involving Angles of Elevation and Depression Using Trigonometric Tables
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 22: Height and Distances - Exercise 22 (A) [पृष्ठ ३३६]

APPEARS IN

सेलिना Mathematics [English] Class 10 ICSE
अध्याय 22 Height and Distances
Exercise 22 (A) | Q 3 | पृष्ठ ३३६

संबंधित प्रश्न

An aeroplane at an altitude of 1500 metres, finds that two ships are sailing towards it in the same direction. The angles of depression as observed from the aeroplane are 45° and 30° respectively. Find the distance between the two ships


The angle of elevation of the top of a tower, from a point on the ground and at a distance of 160 m from its foot, is found to be 60°. Find the height of the tower.


A man stands 9 m away from a flag-pole. He observes that angle of elevation of the top of the pole is 28° and the angle of depression of the bottom of the pole is 13°. Calculate the height of the pole.


A man on a cliff observes a boat, at an angle of depression 30°, which is sailing towards the shore to the point immediately beneath him. Three minutes later, the angle of depression of the boat is found to be 60°. Assuming that the boat sails at a uniform speed, determine:

  1. how much more time it will take to reach the shore?
  2. the speed of the boat in metre per second, if the height of the cliff is 500 m.

From a point, 36 m above the surface of a lake, the angle of elevation of a bird is observed to be 30° and the angle of depression of its image in the water of the lake is observed to be 60°. Find the actual height of the bird above the surface of the lake.


The angle of elevation of the top of a vertical cliff from a point 30 m away from the foot of the cliff is 60°. Find the height of the cliff. 


From a point 10 m above the ground , the angle of elevation of the top of a tower is α and the angle of depression is β . If tan α = `5/2` and tan β = `1/4` , calculate the height of the tower to the nearest metre .


The horizontal distance between towers is 140 m. The angle of elevation of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 60m, find the height of the first tower. 


Vertical tower is 20m high. A man standing at some distance from the tower knows that the cosine of the angle of elevation of the top of the tower is 0.53. How far is he standing from the foot of the tower?


A vertical tower standing on a horizontal plane is surmounted by a vertical flagstaff. At a point 100 m away from the foot of the tower, the angle of elevation of the top and bottom of the flagstaff are 54° and 42° respectively. Find the height of the flagstaff. Give your answer correct to nearest metre.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×