A straight highway leads to the foot of ...

A straight highway leads to the foot of a tower of height 50 m. From the top of tower, the angles of depression of two cars standing on the highway are `30^@` and `60^@` respectively. What is the distance between the two cars and how far is each car from the tower?

`(100)/(sqrt(3))m`

`100sqrt(3)m`

`86.50 m`

None of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

HEIGHT AND DISTANCE
ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster for Cracking Exam|18 Videos
HCF AND LCM
ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster for Cracking Exam|24 Videos
HYDROSTATICS
ARIHANT PUBLICATION JHARKHAND|Exercise Exam booster for cracking exam|35 Videos

Similar Questions

Explore conceptually related problems

A straight highway leads to the foot of a tower of height 50m .From the top of the tower,the angles of depression of two cars standing on the highway are 30o and 60o respectively. What is the distance between the two cars and how far is each car from the tower?

From the top of a tower of height 180 m the angles of depression of two objects on either sides of the tower are 30^(@)and45^(@) . Then the distance between the objects are

From the top of a 96 m tower, the angles of depression of two cars, on the same side of the tower are alpha" and "beta respectively. If tanalpha=1/4" and "tanbeta=1/7 , then find the distance between two cars.

From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30^(@) and 60^(@) respectively. The height of the tower is :

From the top of a building, the angle of elevation and depression of top and bottom of a tower are 60^(@) and 30^(@) respectively. If the height of the building is 5m, then find the height of the tower.

ARIHANT PUBLICATION JHARKHAND-HEIGHT AND DISTANCE-Exam Booster for Cracking Exam

At a point 20 m away from the foot of a tower, the angle of elevation ...
Text Solution
|
An electric pole is 10m high. A steel wire tied to top of the pole ...
Text Solution
|
The angle of elevation of the Moon when the length of the shadow of a ...
Text Solution
|
The angle of elevation of a tower from a distance 200 m from its foot ...
Text Solution
|
If the length of shadow of a pole on a level ground is twice the lengt...
Text Solution
|
The angle of elevation of the top of a hill from the foot of a tower ...
Text Solution
|
A person of height 2m wants to get a fruit which is on a pole of heigh...
Text Solution
|
A straight highway leads to the foot of a tower of height 50 m. From t...
Text Solution
|
From the top of a pillar of height 20 m, the angles of elevation and d...
Text Solution
|
From a point A on the ground , the angles of elevation of the top of a...
Text Solution
|
A vertical tower stands on a horizontal plane and surmounted by a flag...
Text Solution
|
A man on the top of a tower: standing on the seashore: finds that a bo...
Text Solution
|
From a window (h metres high above the ground) of a house in a street,...
Text Solution
|
Two persons are 'a' meters apart and the height of one is double that ...
Text Solution
|
A flag staff of 5m high stands on a building of 25m high. At an obse...
Text Solution
|
If a flag-staff of 6 m height placed on the top of a tower throws a sh...
Text Solution
|
An aeroplane flying horizontally , 1km above the ground , is observed...
Text Solution
|
The angle of elevation of a cloud from a height h above the level of w...
Text Solution
|