If the
angles of elevation of the top of a tower from three collinear points A, B
and C, on a line leading to the foot of the tower, are `30^0`
, `45^0`
and `60^0`
respectively, then the ratio, AB : BC, is :
(1) `sqrt(3):1`
(2)
`sqrt(3):sqrt(2)`
(3)
`1:sqrt(3)`
(4)
`2"":""3`
A
`sqrt(3):1`
B
`sqrt(3):sqrt(2)`
C
`1:sqrt(3)`
D
`2:3`
Text Solution
Verified by Experts
Let ED be the tower of height h. `tan 30 ^@ = (h) /(AD) ` ` rArr AD= h sqrt( 3) ` `BD= h,CD=h/sqrt( 3)` `(AB)/(BC)=(AD- BD)/(BD-CD)` `(hsqrt(3)-h)/(h-(h)/sqrt3)=(sqrt(3)-1)/(((sqrt(3)-1)/(sqrt(3))))=sqrt(3)`
If the angles of elevation of the top of a water from three collinear points, B and C, on a line leading to the foot of the tower, are 30^@, 45^@ and 60^@ respectively, then the ratio, AB:BC,is:
The height of the mobile tower is 40sqrt3 metre. The angle of elevation of the top of the tower from a point a distance 120 metre from the foot of the tower is
Height of a tower is 100sqrt(3) metres. The angle to elevation of the top the tower from a point at a distance of 100 metres of foot of the tower is
If the ratio of length of shadow of a tower and height of the tower is sqrt3 : 1 , find the angle of elevation of the Sun.
4 cos^(2)x + sqrt(3) = 2(sqrt(3)+1)
tan^(2)x -(1+sqrt(3))tanx + sqrt(3)=0
Fill in the blanks The height of a tower is 50sqrt3 metre. The angle of elevation of the top of a tower from a point at a distance of 50 metre of root of the tower is ____.
If the ratio between length of shadow of a tower and height of tower is sqrt(3) : 1, then find the angle of elelvation of the sun.
Find the angles of the triangle whose sides are (sqrt(3)+1)/(2sqrt(2)), (sqrt(3)-1)/(2sqrt(2)) and sqrt(3)/2 .
