हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा १०

From the top of a rock 503 m high, the angle of depression of a car on the ground is observed to be 30°. Find the distance of the car from the rock - Mathematics

Advertisements
Advertisements

प्रश्न

From the top of a rock `50sqrt(3)` m high, the angle of depression of a car on the ground is observed to be 30°. Find the distance of the car from the rock

योग

उत्तर

Let the distance of the car from the rock is x m

In the right ∆ABC, tan 30° = `"AB"/"BC"`

`1/sqrt(3) = (50sqrt(3))/x`

x = `50sqrt(3) xx sqrt(3)`

= 50 × 3

= 150 m

∴ Distance of the car from the rock = 150 m

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Trigonometry - Exercise 6.3 [पृष्ठ २६१]

APPEARS IN

सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 6 Trigonometry
Exercise 6.3 | Q 1 | पृष्ठ २६१

संबंधित प्रश्न

The altitude of the sun at any instant is 60º. Find the height of the vertical pole that will cast a shadow of 30 m.


The shadow of a tower standing on a level ground is found to be 40 m longer when Sun’s altitude is 30° than when it was 60°. Find the height of the tower.


The angle of elevation of a stationary cloud from a point 2500 m above a lake is 15° and the angle of depression of its reflection in the lake is 45°. What is the height of the cloud above the lake level? (Use tan 15° = 0.268)


A ladder rests against a wall at an angle α to the horizontal. Its foot is pulled away from the wall through a distance a so that it slides a distance b down the wall making an angle β with the horizontal. Show that `a/b = (cos alpha - cos beta)/(sin beta - sin alpha)`

 


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.


The Distance of the point (−3, 4) from the x-axis is


A military tent of height 8.25 m is in the form of a right circular cylinder of base diameter 30 m and height 5.5 m surmounted by a right circular cone of same base radius. Find the length of the canvas used in making the tent, if the breadth of the canvas is 1.5 m.


A man is standing on the deck of a ship, which is 40 m above water level. He observes the angle of elevation of the top of a hill as 60° and the angle of depression of the base of the hill as 30°. Calculate the distance of the hill from the ship and the height of the hill `(sqrt(3) = 1.732)`


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 remains unchanged.


If one looks from a tower 10 m high at the top of a flag staff, the depression angle of 30° is made. Also, looking at the bottom of the staff from the tower, the angle of the depression made is of 60°. Find the height of the flag staff.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×