On the same side of a building, two objects are located. The angle of depression from the top of the building is 45 and 60 degree. If the height of the building is 250 m, what is the distance between the two objects?

On the same side of a building, two objects are located. The angle of depression from the top of the building is 45 and 60 degree. If the height of the building is 250 m, what is the distance between the two objects? Correct Answer 250(1 – 1 / √3) m

Given, Angle of depression for object 1 = 45 – degree, object 2 = 60 – degree, height of the building = 250 m. Let the base distance of object 1 = x m, object 2 = y m. Object 1 ➩ tan 45 = height / base distance ➩ 1 = 250 / x ➩ x = 250 m Object 2 ➩ tan 60 = height / base distance ➩ √3 = 250 / y ➩ y = 250 / √3 The distance between the two objects = x – y = 250 – 250 / √3 = 250 (1 – 1 / √3) m
Bissoy MCQ

Related Questions

Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?
From the top of a pole, the angles of depression of two objects P and Q situated on the same side are 30 degree and 45 degree separated by a distance of 100 m. What will be the height of this pole?
On the same side of tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 150 m, the distance between the objects is-
On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately equal to :
The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between thebases of the two towers is 120 metres. What is the height (in metres) of the small tower?
An air cooled cylindrical wall is to be fitted with triangular fins of 3 cm thickness at base and 12 cm in height. The fins are made from stainless steel with density 8000 kg/m3 and thermal conductivity 17.5 W/m K. The wall temperature is 600 degree Celsius and the fin is exposed to an environment with t a = 30 degree Celsius and h = 20 W/m2 K. What is the temperature distribution along the fin? . b) t = 20 + 250 I 0 . c) t = 30 + 250 I 0 . d) t = 40 + 250 I 0 .
The angle of depression of two ships from the top of a light house are 45 and 30 degree, sailing in the same direction. If the height of the light house is 150 m, then what will be the distance between the 2 ships?
From the top of a building, the angles of elevation and depression of top and bottom of a tower are 60 deg and 30 deg respectively. If the height of the building is 5m, then the height of the tower is
A single pass shell and tube heat exchanger, consisting of a bundle of 100 tubes (inner diameter 25 mm and thickness 2 mm) is used for heating 28 kg/s of water from 25 degree Celsius to 75 degree Celsius with the help of a steam condensing at atmospheric pressure on the shell side with condensing heat transfer coefficient 5000 W/m2 degree. Make calculation for overall heat transfer coefficient based on the inner area. Take fouling factor on the water side to be 0.002 m2 degree/W per tube and neglect effect of fouling factor on the shell side and thermal resistance of the tube wall
From the top of a tower, the angles of depression of two objects P and Q (situated on the ground on the same side of the tower) separated at a distance of 100$${\left( {3 - \sqrt 3 } \right)}$$   m are 45° and 60 ° respectively. The height of the tower is-