A lamp post is sittuated at the middle p...

A lamp post is sittuated at the middle point M of the side AC of a triangular plot ABC with BC=m CA =8 m and AB =9 m. Lamp post subleds an anlgle `15^(@)` at the point B. The height of the lamp post is

`7(2+sqrt3) m`

`7(2-sqrt3) m`

`14(2-sqrt3) m`

`14(2+sqrt3) m`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

HEIGHTS AND DISTANCES
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)|30 Videos
HEIGHTS AND DISTANCES
AAKASH SERIES|Exercise LECTURE SHEET Exercise-I (Straight Objective Type Questions)|27 Videos
HEIGHTS AND DISTANCES
AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos
FUNCTIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos
HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

Similar Questions

Explore conceptually related problems

ABC is a triangular park with AB=AC=100 meters. A clock tower is situated at the mid point of BC. The angles of elevation of the tower at A and B are cot^(1) (3.2) and "cosec "^(-1)(2.6) respectively. The height of the tower is

If M and N are the mid - points of the sides BC and CD respectively of a parallelogram ABCD, then AM + AN equals

A Person 1.65 m m tall casts 1.8 m shadow. AT the same instance, a lamp post casts a shadow of 5.4 m. Find the height of the lamp-post.

OPQR is a square and M,N are the middle points of sides PQ and QR respectively then the ratio of the area of the square and the triangle OMN is

AB is vertical pole with B at ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60^(@) . He moves away from the pole along the line BC to a point D such that CD =7 m. From D the angle of elevation of the point A is 45^(@) then the hight of the pole is

AB is a vertical pole with B at the ground level and and A at the top .A man finds that the angle of elevation of the point A from a certain point C on the ground is 60^(@) . He moves away from the pole along the line BC to a point D such that CD = 7 m .From D . the angle of elevation of the point A is 45^(@) .Find the height of the pole .

AAKASH SERIES-HEIGHTS AND DISTANCES-LECTURE SHEET (EXERCISE - II ) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)

A tower 51 m height has a mark at height of 25 m from the ground. At w...
Text Solution
|
A flag staff of the height (a-b) stands on the top of a tower subtends...
Text Solution
|
If each side of length 'a' of an equilateral triangle subteds an angle...
Text Solution
|
A sphere of radius 'a' subtends an angle 60^(@) at a point P. Then the...
Text Solution
|
The elevation of a tower due north of a station A is alpha and at anot...
Text Solution
|
An aeroplane is moving one kilometer high from west to east horizontal...
Text Solution
|
A spherical balloon of radius 5 subtends an angle 60^(@) at a point on...
Text Solution
|
A person in aballoon, who has ascended verticallly from flat land at t...
Text Solution
|
A sperical balloon of radius r subtends an angle alpha at the eye of a...
Text Solution
|
Two pillars are 120 ft a part and the height of one in double that of ...
Text Solution
|
Two vertical poles 20m and 80m heigh stand apart on a horizontal plane...
Text Solution
|
ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...
Text Solution
|
A flag staff of height 10 metres is placed on the top of a tower of he...
Text Solution
|
A tower leans towards west making an angle alpha with the vertical. Th...
Text Solution
|
A Tower stands at the centre of a circular park. A and B are two point...
Text Solution
|
A lamp post is sittuated at the middle point M of the side AC of a tri...
Text Solution
|
The angle of elevation of a top of a tower from a point A due south of...
Text Solution
|
A longer side of a parallelogram is 10 cm and the shorter is 6cm. If t...
Text Solution
|
A ladder rests against wall at an angle alpha to the harizontal. Its f...
Text Solution
|
If the angles of elevation of the top of a tower from three collinear ...
Text Solution
|