हिंदी

Find the Angle of Depression from the Top of a 140m High Pillar of a Milestone on the Ground at a Distance of 200m from the Foot of the Pillar. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the angle of depression from the top of a 140m high pillar of a milestone on the ground at a distance of 200m from the foot of the pillar. 

योग

उत्तर

Let AB be the pillar. Let the angle of depression be θ. 

In triangle ABC, 

`tanθ = "AB"/"BC"`

⇒ `tanθ = 140/200 = 7/10 = 0.7`

We have : `tan 35^circ = 0.7`

Thus , the angle of depression is θ = 35°.

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: Heights and Distances - Exercise

APPEARS IN

फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 22 Heights and Distances
Exercise | Q 14

संबंधित प्रश्न

The horizontal distance between two towers is 120 m. The angle of elevation of the top and angle of depression of the bottom of the first tower as observed from the second tower is 30° and 24° respectively.

Find the height of the two towers. Give your answer correct to 3 significant figures


In the figure, given below, it is given that AB is perpandiculer to BD and is of length X metres. DC = 30 m, ∠ADB = 30° and ∠ACB = 45°. Without using tables, find X.


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.

An aeroplane takes off at angle of `30^circ` with the ground . Find the height of the aeroplane above the ground when it has travelled 386m without changing direction .


The height of an observation tower is 180m above sea level. A ship coming towards the tower is observed at an angle of depression of 30°. Calculate the distance of the boat from the foot of the observation tower. 


An observer, 1.5m tall, is 28.5m away from a tower 30m high. Determine the angle of elevation of the top of the tower from his eye. 


Two persons standing on opposite sides of a tower observe the angles of elevation of the top of the tower to be 60° and 50° respectively. Find the distance between them, if the height of the tower is 80m. 


Two boats approaching a light house in mid sea from opposite directions observe the angle of elevation of the top of the light house as 30° and 45° respectively. If the distance between the two boats is 150m, find the height of the light house. 


With reference to the given figure, a man stands on the ground at point A, which is on the same horizontal plane as B, the foot of the vertical pole BC. The height of the pole is 10 m. The man's eye is 2 m above the ground. He observes the angle of elevation of C, the top of the pole, as x°, where tan x° = `2/5`.

Calculate :

  1. the distance AB in metres;
  2. angle of elevation of the top of the pole when he is standing 15 metres from the pole. Give your answer to the nearest degree.


From the top of a tower 60 m high, the angles of depression of the top and bottom of pole are observed to be 45° and 60° respectively. Find the height of the pole.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×