Home
Class 10
MATHS
A tower is 50 m high. Its shadow is x me...

A tower is 50 m high. Its shadow is x metres shorter when the sun's altitude is `45^@` than when it is `30^@`. Find the value of x correct to nearest cm.

Text Solution

Verified by Experts

Here, height of tower`(h) = 50m`
We can create a right angle triangle with the given details.
Please refer to video for the figure.
From the figure,
In `Delta ABD`,
`h/s = tan30^@=> s = hsqrt3->(1)`
In `Delta ABC`,
`h/(s-x) = tan45^@ =>h = s-x`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

A tower is 50cm high. Its shadow is x mtrs shorter when the suns altitude is 45^(@) than when it is 30^(@) . Find the value of x.

A tower is 50m high. Its shadow is x m shorter when the sun's altitude is 45^(@) then when it is 30^(@) , then x=……….m.

A tower is 100 m high. Its shadow is x meters shorter, when the sun's attitude is 45^(@)" than when it is "30^(@). Then value of x in meters is:

A tower is 60 m height. Its show is x metres shorter when the sun's altitude is 45^(@) than when it has been 30^(@) , then x is equal to

A tower is 60 m height. Its shadow is x metres shorter when the sun's altitude is 45^(@) than when it has been 30^(@), then x is equal to:

A tower is 60 m height. Its shadow is x metres shorter when the sun's altitude is 45^(@) than when it has been 30^(@), then x is equal to:

A tower is 120 m high. Its shadow is s m shorter, when the sun's altitude is 60^(@) than when it was 45^(@) . Find x correct to nearest metre .

A tower is 60 m height. Its shadow is x metres shorter when the sun's altitude is 45^@ than when it has been 30^@ , then x is equal to …………………. .

The shadow of a tower standing on a level ground is found to be 20 m longer when the sun's altitude is 45^(@) than when it is 60^(@) .Find the height of the tower .

A tower is 50 m high. When the sun's altitude is 45^(@) then what will be the length of its shadow ?